31 Ekim 2019 Perşembe

Yamaha DX7 - FM & Timbre in a digital world

 I have recently been exploring the Yamaha DX7 and thinking about how it compares with standard analog subtractive synthesizers....... and contrasting Analog FM with Digital FM

There is something very special about the DX7 and how it produces sounds.
The Yamaha DX7 is of course digital and for many, the DX7 = FM synthesis.

However, FM isn't the sole domain of digital. FM existed in the analog world before the DX range was produced. Below is a pic of a Buchla oscillator... the 158. You can see that Don was very much into wave shaping & FM. This module dates from around 1968/69.



The pic below is of a Buchla 208 with its analog FM, dating from 1973.

Notice the word "timbre".

So in a non FM analog subtractive synth you usually start with harmonically rich wave forms like saw, square, etc. and you use filters to smooth the sound out a bit (technically we are subtracting overtones).
In analog FM synthesis, you start with a wave form and you then use other waves to distort it.... to create new tones & harmonics.


The best way to see this is with a spectrum analyser. This will show the additional harmonics created by the FM process.

Timbre

We come across this term again and again. It is also called tone or colour. What exactly is it?
It's one of the 3 main parameters of sound. ...which are volume, pitch & timbre.

The Oxford dictionary says that
"timbre" describes those characteristics which allow the ear to distinguish sounds which have the same pitch and loudness.

For example a piano, a flute and a guitar may all play the same (frequency) note, at the same (amplitude) loudness, but we can still tell them apart. This is due to their different timbres.

The timbre of a sound depends on its wave form. Though the frequency & amplitude may stay the same what varies are the number of overtones, or harmonics, that are present, their frequencies, and their relative intensities. 

To elaborate further, the timbre of a tuning fork is clear and pure because the sound it produces is almost without overtones. It vibrates at 440Hz. This is known as it's fundamental frequency.
You can use this fork to tune our piano, flute or guitar to 440 Hz (Middle A), but each instrument will sound different because they have unique overtones which are related to the fundamental.

Harmonic          Frequency
First                   440 Hz
Second               880 Hz
Third                  1320Hz
Fourth                1760Hz
Fifth                   2200Hz

To calculate the next harmonic, you of course just add 440.
  These relationships appear to be very important when using the Yamaha DX FM system.
This is where concept of Frequency Modulation Ratios is impt. 
Harmonic overtones are created based on the ratio between the carrier frequency & the modulator frequency. Musically pleasing overtones are based on simple fractional ratios like 1:2, 1:3, 1:5, etc
Complex fractional ratios like 1.73 produce complex waveforms when combined with operators set to other ratios.
 
Below is a list of the ratios used in the DX21
 

What's important to remember is that when you hear any sound (in nature or music) you are hearing lots of different frequencies all mixed together.... fundamentals, harmonics of the fundamentals, 
dis-harmonics / en-harmonics of the fundamental, etc etc..... this is timbre.

More harmonics = more "musical" sounds
More dis-harmonics = more "non-musical" sounds

Digital synths generally produce sounds in two ways ... FM or additive
Additive digital synths like the Fairlight and the Synclavier can specify a fundamental frequency and add overtones (of harmonics & disharmonics) to create new sounds.  The Fairlight allows sampling where it will analyse a inputted sound, and recreate the sound using its additive synthesis ability.

Though the DX7 can do some additive, this is not it's main way of making new sounds.
It's method uses Digital FM
It's all accomplished in a virtual world consisting (not of waveforms distorting one another),. but of programs in a computer calculating what would have happened if these waveforms had really existed and were distorting one another.

The core of the DX7 is the operator.
Its not a physicial thing like a string on a guitar or an oscillating electrical signal.
It's a bit of software.
You can picture it something like this:
The Oscillator is the sound source.
It generates numbers.

The operator also has a digital amplifier and EG
The amplifier's job is to increase or decrease those numbers exiting the oscillator.
It may be changing volume (if the operator is a carrier).
The EG will send numbers (issuing software instructions) to effect the amplifier.... its changing volume over time in this example.

Note That the operators oscillator has two inputs:
1. pitch data
2. modulation data

When the output of one operator is patched into the input of another operator, the result is a complex waveform. This is the essence of FM synthesis.
By varying the ratio of the modulator & carrier frequencies, and by varying the envelope of the modulator, you can create some very complex waveforms.

They use DACs to convert those numbers to analog voltages which we can hear.

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FM Index
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30 Ekim 2019 Çarşamba

Tudor

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Tudor Watches is a Swiss luxury watchmaker founded in 1926 by Hans Wilsdorf—the same visionary founder who established Rolex. Wilsdorf created Tudor to offer the same legendary dependability and waterproof Oyster case construction as a Rolex, but at a more accessible price point by using reliable, third-party movements (like ETA) while sharing case and crown components with its parent company. [1, 2]

History & Milestones
  • 1926–1949 (Origins): Hans Wilsdorf registers the "The Tudor" brand, later shifting focus to build watches that matched Rolex's reliability. [1]
  • 1952 (Oyster Prince): The launch of the Tudor Oyster Prince marks the brand's pivot toward rugged, self-winding tool watches. [1]
  • 1954 (First Submariner): Tudor releases the Oyster Prince Submariner (Ref. 7922), entering the professional dive watch arena. [1]
  • 1960s–1980s (Military Pedigree): Tudor supplies dive watches to major military forces, including the US Navy SEALs and the French Marine Nationale (famous for the fixed-bar FXD line). [1, 2]
  • 1970 (First Chronographs): The debut of the colorful "Homeplate" and subsequent "Monte Carlo" chronographs. [1, 2]
  • 2010s–Present (In-House & Renaissance): Tudor transitions heavily into in-house manufacture (MT) calibers, COSC and METAS certifications, and neo-vintage icons like the Black Bay. [1, 2]

Movements
  • Historic Era: For decades, Tudor relied on off-the-shelf, ultra-reliable Swiss movements from ETA and Sellita, which made them easy and affordable to service globally. [1, 2]
  • In-House Era: Starting in the mid-2010s, Tudor transitioned to proprietary manufacturer (MT) calibers. [1]
  • Modern Specs: Modern Tudor movements (such as the MT5602, MT5402, and Master Chronometer-certified calibers) feature silicon hairsprings, a robust 70-hour power reserve, and high anti-magnetic resistance. They are built for rugged, daily-wear utility. [1, 2, 3]

Design Language
  • The "Thinking Man's Rolex": Tudor shares design philosophies—solid build quality, crisp legibility, and Oyster-style architecture—with Rolex, often serving as an unpretentious alternative.
  • Snowflake Hands: Introduced in 1969 for military divers to improve underwater visibility, the angular "snowflake" hour and second hands are an iconic Tudor signature.
  • Neo-Vintage Aesthetics: Modern lines like the Black Bay blend vintage cues (gilt dial print, domed crystals, rivet-style or five-link jubilee bracelets) with modern engineering, slimmed cases, and the micro-adjust T-fit clasp. [1, 2, 3, 4]

Best Models to Collect
  • Tudor Black Bay 58 (Ref. M79030N / Master Chronometer variants): Featuring a classic 39mm case size and vintage proportions, the BB58 is widely considered a modern collector benchmark and community favorite.... see details below
  • Tudor Black Bay 1. ... see details below
  • Tudor monarch .... see below
  • Tudor Pelagos / Pelagos FXD (Ref. M25707B): A titanium professional dive watch rooted in actual French Navy (Marine Nationale) contracts, prized for its extreme lightweight durability and tool-watch purity.... see below for more details
  • Tudor Black Bay Pro (Ref. M79470): Styled with a fixed steel 24-hour bezel and a distinct orange GMT hand, it pays direct homage to vintage exploration watches like the Rolex Explorer II Ref. 1655.
  • Tudor Black Bay Chrono 39 - Bumblebee ... see below
  • Tudor Ranger (Ref. M79950): A clean, no-nonsense 39mm field watch built around supreme legibility and rugged everyday utility.... see more details below
  • Vintage Tudor "Big Block" Chronographs (1976+): The first self-winding chronographs from the Wilsdorf group, making them historical heavyweights that pre-date automatic Rolex Daytona models


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The
Tudor Black Bay 1 (often referred to or grouped with the non-diver everyday/sports-casual Black Bay line, including the 31mm, 36mm, 39mm, and 41mm models) is a versatile, "do-it-all" timepiece designed to bridge the gap between a rugged tool watch and a refined everyday dress-casual piece. [1, 2]
Key Features & Specifications
  • Sizes Available: Offered in four core case sizes: 31mm, 36mm, 39mm, and 41mm. [1]
  • Case & Finish: Stainless steel cases featuring a combination of polished and satin-brushed finishes, paired with smooth steel bezels. [1]
  • Movements: Powered by in-house automatic COSC-certified manufacture calibers (such as the Caliber MT5400 for smaller sizes like the 36mm and MT5602 for the 39mm/41mm variants), delivering roughly a 70-hour power reserve. [1, 2, 3, 4]
  • Water Resistance: 100 meters (330 feet) with a screw-down winding crown bearing the historic Tudor rose. [1, 2]
  • Bracelet & Clasp: Stainless steel multi-link bracelets (frequently a comfortable 5-link or 3-link design depending on the exact configuration) equipped with the T-fit clasp for on-the-fly micro-adjustability. [1, 2, 3]
  • Dial Options: Classic black, anthracite, sunray finishes, or light champagne dials, often accented with luminescent index markers and iconic snowflake hands. [1, 2, 3]
Overview & Appeal
Unlike the chunkier, rotating-bezel dive watches in the broader Black Bay family (such as the Black Bay 54, Black Bay 58, or traditional 41mm divers), the Black Bay 1 collection focuses on a sleek, everyday profile. It is widely viewed as a strong, more accessible alternative to luxury everyday staples like the Rolex Oyster Perpetual, praised for its slim case profile, robust in-house mechanics, and modern clasp tech

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The
Tudor Black Bay 58 is a vintage-inspired luxury dive watch first introduced in 2018 by Tudor. It takes its name and retro aesthetic from the brand's iconic 1958 Oyster Prince Submariner (Reference 7924, known as the "Big Crown"). [1, 2, 3]. The black bay 58 is the definitive watch of the Tudor brand.
Key Specifications & Features
  • Case Size: 39mm diameter, with a slim profile around 11.7mm to 11.9mm thick and a 47mm–47.6mm lug-to-lug distance, making it wear smaller and more comfortably than traditional 41mm dive watches. [1, 2, 3, 4, 5]
  • Water Resistance: 200 meters (660 feet). [1, 2]
  • Design Elements: Domed sapphire crystal, anodized aluminum bezel inserts, signature "snowflake" hands, and gilt or contrasting dial accents. [1, 2, 3]
  • Movements: Powered by in-house automatic calibers (such as the MT5402, MT5400, or METAS Master Chronometer-certified MT5400-U variants) offering a 65- to 70-hour power reserve. [1, 2]
  • Bracelets & Clasps: Available on steel three-link or five-link bracelets, leather, or fabric straps, featuring Tudor’s tool-free "T-fit" rapid micro-adjustment clasp on recent editions. [1, 2]
Collection & Material Options
The Black Bay 58 line has expanded beyond the original stainless steel black-and-gilt model: [1, 2]
  • Black Bay 58 Black-Gilt / Navy Blue: Classic stainless steel builds with vintage gilt or blue dial layouts. [1, 2]
  • Black Bay 58 Bronze: Crafted from an aluminum-bronze alloy with a matching bronze bracelet and a gradient brown dial that develops a unique patina. [1, 2, 3]
  • Black Bay 58 925: Made from a solid 925 sterling silver alloy with an open case back and taupe-grey dial. [1, 2, 3]
  • Black Bay 58 18K: Housed in 18-karat yellow gold with a green dial and open case back. [1, 2]
  • Black Bay 58 GMT: A dual-time zone iteration adding a 24-hour bezel and the MT5450-U movement.

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The
Tudor Ranger is an iconic, rugged field and expedition wristwatch from the Swiss watchmaker Tudor. Rooted in the 1952 British North Greenland Expedition, the modern line blends vintage tool-watch heritage with contemporary engineering. [1, 2, 3]
Usually these can be cheaper than the Black bay 1 even though on a tech level they aren't that far apart. The dial is less complex. The case is almost completely brushed. It is a luxury grade tool watch.
Key Specifications & Features
  • Case Sizes: Available in 39mm (12mm thick, 20mm lug width) and a slimmer 36mm (11mm thick, 19mm lug spacing) stainless steel case with a satin-brushed finish. [1, 2, 3]
  • Dials: Offered in classic matte black domed and beige/dune white domed dials with painted Arabic numerals (3, 6, 9, 12) and signature arrow-shaped hands. [1, 2, 3]
  • Movement: Powered by in-house, COSC-certified manufacture calibres (MT5402 in the 39mm, MT5400 in the 36mm) featuring an antimagnetic architecture and a robust 70-hour power reserve. [1, 2, 3]
  • Water Resistance: Waterproof to 100 meters (330 feet) with a screw-down steel crown bearing the Tudor rose relief. [1, 2]
  • Bracelets & Straps: Available on a satin-brushed stainless steel bracelet with Tudor's micro-adjustment T-fit safety clasp, as well as fabric (NATO-style) strap options. [1, 2, 3]
  • Complications: Time-only display with no date complication, preserving a clean, symmetrical, and minimalist instrument-watch aesthetic. [1, 2]
Design & Philosophy
The Tudor Ranger is built as an understated, no-frills "GADA" (Go Anywhere, Do Anything) field watch. Its matte finishing and high-contrast markers prioritize maximum legibility and stealth utility over glossy luxury flash, making it a direct spiritual cousin to historic mid-century explorer timepieces. [1, 2, 3, 4, 5]
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The
Tudor Monarch (Reference M2639W1A0U-0001) is a modern luxury mechanical watch released by Tudor as part of its permanent collection to commemorate the brand's 100th anniversary. It revives a sporty-chic nameplate from the late 1990s while reinterpreting it with contemporary geometry, vintage styling cues, and high-spec in-house engineering. [1, 2]

Key Specifications & Design
  • Case: 39mm stainless steel case with a faceted, sharp architectural design, measuring 11.9mm thick and 46.2mm lug-to-lug, featuring a mix of satin-brushed and high-polish finishes. [1, 2, 3]


  • Water Resistance
    : 100 metres (330 feet) with a screw-down winding crown and a sapphire display case back.
    [1, 2, 3]
  • Dial: Dark champagne "papyrus-toned" vertically brushed dial with a "California" layout (Roman numerals from 10 to 2 paired with Arabic numerals from 4 to 8), slim blackened hands, a railroad minute track, and a recessed small seconds sub-dial at 6 o'clock. [1, 2, 3]
  • Bracelet: Two-link faceted steel bracelet with H-link satin-brushed tops and polished center links, equipped with the tool-free Tudor "T-fit" micro-adjustment clasp. [1, 2, 3]
  • Movement: Self-winding Manufacture Calibre MT5662-2U (COSC and METAS Master Chronometer certified), beating at 28,800 vph (4 Hz) with a silicon balance spring, 32 jewels, 18-karat gold rotor inlays, and a 65-hour power reserve. [1, 2]
  • Price: Retails around US$5,875 (~£4,600 / €5,400), with local Australian market pricing hovering roughly between $6,990 AUD and $8,590 AUD depending on the retailer.
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The "octagon-square" or faceted shape you are referring to belongs to the 2026 Tudor Monarch, a groundbreaking permanent collection release introduced at Watches & Wonders to mark Tudor's 100th anniversary. While the name "Monarch" originally belonged to a line of sporty-chic quartz watches from the 1980s and 90s, the modern iteration is a completely new mechanical design featuring a highly architectural, geometric aesthetic. [1, 2, 3, 4]
📐 The Case Geometry & Design
The distinct "octagon square" appearance comes from a 39mm modified barrel-shaped (tonneau) stainless steel case built around an eight-sided octagonal blueprint. [1, 2]
  • Faceted Architecture: Rather than having smooth, traditional curves, the case features aggressive, razor-sharp angular facets. The sides consist of flat segments, and the hooded lugs are heavily chamfered, creating a bold, masculine silhouette that sits somewhere between a classic square-cushion case and an integrated sports luxury layout. [1, 2, 3, 4]
  • Alternating Finishes: The case maximizes light reflection with dramatic finishing contrasts—the sharp faceted lugs feature a mirror-like high polish, while the interior sides of the central case maintain a muted satin-brushed look. [1]
  • Flush Screw-Down Crown: To prevent breaking up the sharp lines of the octagon, the ribbed screw-down crown sits completely flush against the right side of the case, enhancing its geometric symmetry while still providing 100 meters of water resistance. [1]
🎨 The "Error-Proof" California Dial
To complement the angular case, Tudor paired the watch with a vintage-inspired layout drawing from its early mid-century heritage: [1]
  • California Layout: Known historically as the "Error-Proof" dial, it uniquely balances Roman numerals on the upper half (from 10 to 2) and Arabic numerals on the lower half (from 4 to 8). [1]
  • Papyrus Metallic Finish: The dial features a vertically brushed, warm dark champagne or "papyrus-toned" finish that shifts dynamically under different lighting conditions. [1, 2]
  • Sub-Seconds Display: A sunken, textured sub-seconds register is positioned elegantly at 6 o'clock, paired with tapering snowflake-esque diamond hands. [1, 2]
⚙️ Movement & Specifications
Beneath the architectural exterior is a massive step forward for Tudor's mechanical finishing:
  • The Calibre: It debuts the Kenissi-produced Manufacture Calibre MT5662-2U, visible through a rare open sapphire display case back. Unlike Tudor's typically utilitarian calibres, this movement boasts high-end traditional decorations like Côtes de Genève, perlage, and an 18-karat gold inlay on the rotor. [1, 2, 3]
  • Certifications: It is a certified Master Chronometer (COSC and METAS), meaning it keeps time within an ultra-strict 0 to +5 seconds per day tolerance and boasts a massive 15,000-gauss magnetic resistance. [1, 2]
  • Bracelet: It comes on a matching, heavily faceted two-link steel bracelet with a "T-fit" micro-adjustment folding clasp. [1, 2]
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The
Tudor Black Bay Chrono 39 "Bumblebee" (Reference M79310N-0001 / 79310N) is a compact, high-contrast mechanical chronograph featuring a vibrant yellow dial and black sub-counters. [1, 2]
Key Specifications & Design
  • Case Size: 39mm stainless steel case [1]
  • Dimensions: 13.1mm thick with a 47mm lug-to-lug distance (slimmer and more wearable than the larger 41mm Black Bay Chrono) [1, 2]
  • Bezel: Fixed stainless steel bezel with a black anodized aluminum tachymetric scale insert [1]
  • Crystal: Domed sapphire crystal [1]
  • Water Resistance: 200 meters (660 feet) [1]
  • Dial: Matte/domed yellow dial with black snailed sub-counters (45-minute counter at 3 o'clock, small seconds at 9 o'clock) and a date window at 6 o'clock [1, 2, 3]
  • Hands: Signature Tudor Snowflake hands adapted in slim blackened/silver-toned finishes [1, 2]
  • Bracelet: Three-link stainless steel bracelet (free of faux rivets for a cleaner look) equipped with Tudor's T-fit rapid-adjustment clasp for tool-free micro-adjustments. [1, 2]
Movement
  • Calibre: COSC-certified Manufacture Calibre MT5813 (self-winding mechanical chronograph with a column-wheel and vertical clutch, based on the Breitling B01 architecture)
  • Power Reserve: Approximately 70 hours
  • Frequency: 28,800 vibrations per hour (4 Hz) with a silicon balance spring [1, 2, 3]
Pricing & Availability
  • Retail Price: Around US$6,725 / EUR 6,200 (approx. A$9,480)
  • Edition: Standard/unlimited production model available through official Tudor boutiques and authorized dealers. [1, 2, 3, 4]

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The
Tudor Hydronaut is a neo-vintage sports and dive watch line introduced by Tudor in the late 1990s as the successor to the classic Tudor Submariner. [1, 2, 3]
History and Era
  • Transition from Submariner: Launched around 1998 (with the first-generation Ref. 89190), the Hydronaut bridged the gap after Tudor phased out its traditional Submariner models. [1, 2]
  • The "Nauty Noughties": It marked a more contemporary and colorful design direction for the brand compared to historical black-or-blue dive watches. [1, 2]
  • Market Presence: Produced through the 2000s (including the later Hydronaut II iterations), these pieces utilize reliable Swiss movements from the pre-in-house manufacturing era. [1, 2]
Key Specifications & Design
  • Case Size: Typically around 40mm to 40.5mm (though smaller mid-size and ladies' variants like 31mm and 37mm also exist) with a slim profile around 11mm thick.
  • Material: 316L stainless steel construction with a mix of brushed and polished surfaces.
  • Bezel: 120-click unidirectional rotating diving bezel featuring a distinctive recessed look where the bezel and crown appear to sink slightly into the case architecture.
  • Crown: Screw-down Rolex-style Triplock crown with prominent crown guards.
  • Water Resistance: Standard 200 meters (660 feet), though some specialized or later sport iterations feature higher depth ratings.
  • Movement: Powered by reliable, easily serviceable automatic Swiss ETA movements (such as the ETA 2824-2).
  • Dials & Aesthetics: Offered a wider palette than the old Submariner, including black, silver, blue, orange, yellow, and carbon fiber. Some early co-branded or special editions feature red "Tiger" text accents.
  • Bracelet: Oyster-style or Jubilee-style stainless steel bracelets featuring wet-suit dive extensions on the clasp. [1, 2, 3, 4, 5, 6, 7, 8]
Collector & Market Status
  • The Hydronaut occupies a valued neo-vintage space for enthusiasts looking for a "baby Rolex" or historical Tudor sports watch before the modern Black Bay phenomenon took over.

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The
Tudor Pelagos FXD (where "FXD" stands for fixed strap bars) is a modern, military-spec technical dive and tool watch developed in collaboration with combat divers from the French Navy's (Marine Nationale). [1, 2, 3]

Key Design & Build Features
  • Fixed Strap Bars: Unlike standard watches with spring bars, the FXD features solid, machined strap bars integrated directly into the case. This makes the watch incompatible with traditional two-piece metal bracelets, restricting it to one-pass fabric, NATO, or self-gripping Velcro straps. [1, 2, 3, 4, 5]
  • Case Material & Dimensions: Typically built from a lightweight 42mm brushed Grade 2 titanium case (with a Grade 5 titanium case back), measuring roughly 12.75mm thick with a lug-to-lug span around 50–52mm. (Carbon composite variants also exist, such as the Alinghi Red Bull Racing editions). [1, 2, 3, 4, 5]
  • Bidirectional Countdown Bezel: Unlike a standard diver's bezel that rotates counter-clockwise to count elapsed time, the FXD features a 120-click bidirectional countdown bezel designed for underwater navigation maneuvers used by combat divers. [1, 2]
  • No Helium Escape Valve / No Date: Streamlined compared to the classic 500m Pelagos, the FXD drops the helium escape valve and date window for better dial symmetry and a thinner profile, rated to 200 meters of water resistance. [1, 2, 3]
  • Dial & Lume: Features a matte finish (navy blue, black, etc.) with applied ceramic luminous markers and signature Tudor "snowflake" hands. [1, 2, 3]

Core Movement
  • Calibre MT5602 (or MT5652-U on GMT variants): Powered by an in-house, self-winding mechanical movement with a bidirectional rotor system. [1, 2]
  • Power Reserve: Offers approximately a 70-hour power reserve. [1, 2]
  • Certification: Chronometer-certified (COSC), with some newer variations meeting METAS master chronometer standards. [1, 2]

Lineup Variations
  • Pelagos FXD (Original Marine Nationale): Matte navy blue dial with a bidirectional countdown bezel and fabric/rubber strap options.
  • Pelagos FXD Alinghi Red Bull Racing: Made from a carbon composite case with a sporty blue-and-red yacht-racing aesthetic.
  • Pelagos FXD GMT: Features a 24-hour bidirectional bezel and a GMT/Zulu time function for aviation or multi-zone tracking, powered by the MT5652-U calibre.

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