systems of 2, 3 5s, etc experienced as Herzs but based in math Just intonation - Wikipedia, the free encyclopedia

systems of 3 etc experienced as Herzs but based in math Just intonation - Wikipedia, the free encyclopedia

▶ Microtonal Guitar (Part 2) - Tolgahan Çoğulu - Pythagorean / Just Intonation / Meantone - YouTube

Microtonal Guitar (Part - Tolgahan Çoğulu - Pythagorean / Just Intona.

Just Intonation and Fretted Instruments

Just Intonation and Fretted Instruments

Field of just intonation. The presence of the Syntonic Comma interval (11 schismas in size), and the Ditonic or Pythagorean Comma (12 schismas in size), leads to a natural resolution of the field of Just Intonation into a scale of Commas, if we temper into the closed cycle of 53-ET. This great system of temperament can rightly be named Quasi-Just Intonation since it preserves so many of the essential properties of pure Just Intonation within a reasonably manageable complexity.

The field of Just Intonation showing the comma based notation

This is an article by Ross W. Duffin about Just intonation in Renaissance music.  I would use the section of this essay entitled "New Approach" when working with an ensemble performing Renaissance music.  I would use the Problematic Solutions strategy in this situation by giving the students the situation of having to make difficult decisions about intonation in a period ensemble.  They would think about that scenario as they read the essay and use it to inform their own performance.

MTO Duffin, Just Intonation in Renaissance Theory and Practice

Wikipedia- Just Intonation > Staff Intonation.

Wikipedia- Just Intonation > Staff Intonation.

11 Beautiful Italian Words And Phrases That Just Dont Translate

11 Beautiful Italian Words And Phrases That Just Don't Translate

Just Intonation and Fretted Instruments

Just Intonation and Fretted Instruments

Numena & Geometry:   This double-CD reissue of two early Rich albums make good companion pieces. One can hear the seeds being lain for the organic IRainforest/I two earlier in 1987's INumena/I. It was also the first album in which he explored the tuning system of just intonation, which is based upon whole numbered ratios between frequencies. The album opens with "The Other Side of Twilight," a beautiful epic track balancing animated sequencer lines and sustained, slow motion keyboards ...

Numena & Geometry: This double-CD reissue of two early Rich albums make good companion pieces. One can hear the seeds being lain for the organic IRainforest/I two earlier in 1987's INumena/I. It was also the first album in which he explored the tuning system of just intonation, which is based upon whole numbered ratios between frequencies. The album opens with "The Other Side of Twilight," a beautiful epic track balancing animated sequencer lines and sustained, slow motion keyboards ...

Intonation is a never-ending project. It’s extremely simple, incredibly  subtle, and (I anticipate) takes more than one career to really, truly  master. I stumbled across a revelation of sorts rather later in my first  season than I’d like to admit. To appreciate how radical it was at the  time, and how obvious in retrospect, it’s important to first understand  where I was coming from.  I learned the adjustment “rules” for just intonation (outlined below)  pretty early on. This quickly came…

My Intonation Revelation

Intonation is a never-ending project. It’s extremely simple, incredibly subtle, and (I anticipate) takes more than one career to really, truly master. I stumbled across a revelation of sorts rather later in my first season than I’d like to admit. To appreciate how radical it was at the time, and how obvious in retrospect, it’s important to first understand where I was coming from. I learned the adjustment “rules” for just intonation (outlined below) pretty early on. This quickly came…

the H Y M NO T RO N = an amazing just intonation synthesizer from the dewan brothers ::: dewanatron instruments

Leon Dewan demonstrates the Dewanatron Hymnotron at Big City Music

Ancient Greek Music in Just Intonation - See the video : http://www.onbrowser.gr/ancient-greek-music-in-just-intonation/

Ancient Greek Music in Just Intonation - See the video : http://www.onbrowser.gr/ancient-greek-music-in-just-intonation/

"MAXIMUM CLARITY" AND OTHER WRITINGS ON MUSIC:   divDescribed by UNew York Times/U critic John Rockwell as “one of the best non-famous composers this country has to offer,” Ben Johnston reconceives familiar idioms--ranging from jazz to Southern hymns--using just intonation. Johnston studied with Darius Milhaud, Harry Partch, and John Cage, and is best known for his UString Quartet No. 4,/U a complex series of variations on UAmazing Grace./U This volume reveals he is also a truly litera...

"MAXIMUM CLARITY" AND OTHER WRITINGS ON MUSIC: divDescribed by UNew York Times/U critic John Rockwell as “one of the best non-famous composers this country has to offer,” Ben Johnston reconceives familiar idioms--ranging from jazz to Southern hymns--using just intonation. Johnston studied with Darius Milhaud, Harry Partch, and John Cage, and is best known for his UString Quartet No. 4,/U a complex series of variations on UAmazing Grace./U This volume reveals he is also a truly litera...

Arvo Pärt's cult piece: 1st record ever in "just intonation" by Challenge Records Int. — Kickstarter

is raising funds for Arvo Pärt's cult piece: record ever in "just intonation" on Kickstarter!

The Four Modes of Just Intonation

MTO Scholtz, Algorithms for Tunings and Temperaments

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