72 TONE EQUAL TEMPERAMENT (72T-ET)
 

 

 

C Harmonic Scale

Based on "Table of Intervals not exceeding one Octave," Hermann Helmholtz,

On The Sensations of Tone, Dover Publications, Inc., New York, 1954, pp453-456

 

 

 
 

 

48 Note Subset where C is CP (concert pitch)

Arrayed on 6 Keyboards Tuned 16.6¢ Apart

 

 
 
Keyboard #1 (+50¢)
 

P5/11P

 

P11/9P

   

11P

 

P9/11P

 

P11/5P

 

 

P15/13

 

P11

 

13/15P

 

 
   
Keyboard #2 (+33.3¢)
 

P7/13

13/5P

 

 

spacer
   

13/9P

 

P∏

 

P3/11P

spacer

 

7P

P9/7P

P15/11P

 

P5/7P

 

     
Keyboard #3 (+16.6¢)
 

15P

 

P5/3P

   

P3/P7

3P

 

9/P3

 

P17/15P

P7/11P

 

 

P11/13

P17/3P

 

     
Keyboard #4 (Concert Pitch)
spacer

P17

spacer

spacer 14 pixels

spacer 3spacer 3 pix

spacer 14 pixspacer 16 pix

spacer 17spacer spacer

17/P5

P5/17P

spacerspacer

 

spacerspacer
spacerspacer

spacer9P

 

PP

P9

spacer

5P

P5

 

17P

 
Keyboard #5 (-16.6¢)
spacer gif

 

spacer gif
 

13/11P

P3/P17

   

P7/3P

 

P11/7P

 

P15/17P

 

 

P3/9P

P3

 

 

P3/5P

P15

 
Keyboard #6 (-33.3¢)

 

 

P7/5P

 

P9/13

 

P11/P9

P7/9P

P7

 

 

P11/3P

∏P

 

P11/15P

 

13/7P

P5/13

 

Neutral Sixth on Wikipedia Identifies 13th as 840.53¢

How the 13th Harmonic Saved My Music by Kyle Gann (Feb. 28, 2015)

Pitch, Pi, and Other Musical Paradoxes by Charles E. H. Lucy Identifies π as 1980.9¢

Franz Richter Herf in wikipedia

Ekmelic Music

Other Equal Temperaments

What Ancient Greek Music Sounded Like

Rene Descartes

Jean-Philippe Rameau

Glenn Gould - How Mozart Became a Bad Composer ("The Return of the Wizard")

Glenn Gould talks about Stravinsky, Schoenberg, and Soviet music

Paul Hindemith

Arnold Schoenberg

 

46 NOTE SUBSET

PAUL ERLICH'S 17-LIMIT TABLE

72-TET NOTE NUMBERS

13th Harmonic

Microfest.org

Lou Harrison House

Lou Harrison: Explorations in Just Intonation and Temperaments on the Keyboard

David R Canright, Fibonacci Suite

Syntonic Comma

Charles E. Ives

Ferruccio Busoni

Nikolay Rimsky-Korsakov

Igor Stravinsky

Universal Mind of Bill Evans (1966 Documentary)

 

ARISTOXENUS

HELMHOLTZ

DANIELOU

MANERI

ANTIPHONAL LEAVES

COMPOSERS

COMPOSITION

JUST INTONATION STORE

OVERTONES

TEMPERAMENT

SACHS

SCALES

RAYLEIGH

 

"C" Overtone Series

JSTOR

Farewell To The Orchestra

email: belvedere7@verizon.net
© 2021 Rick Tagawa
Revised: 2/2/21