72 TONE EQUAL TEMPERAMENT (72T-ET)
 

 

 

 

 

 

 

   

 

Never go beyond the notes of the piano.

Madame Longy, Juilliard School c1968

 

     

 

 

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

 

 

 
 

 

6 Keyboards Tuned 16.6¢ Apart

 

 

Keyboard 1 (+50¢)

Keyboard 4 (Concert Pitch)

ARISTOXENUS

HELMHOLTZ

DANIELOU

MANERI

 

P5/11

 

11/9

   

11P

 

9/11

 

11/P5

 

 

15/13

 

P11

 

13/15

 

 

P17

 

 

 

   

17/P5

P5/17

 

 

 

9P

 

PP

P9

 

5P

P5

 

17P

ANTIPHONAL LEAVES

COMPOSERS

COMPOSITION

JUST INTONATION STORE

Keyboard 2 (+33.3¢)
Keyboard 5 (-16.6¢)
 

7/13

13/P5

 

 

   

13/9

 

8/13

*

 

P3/11

 

 

7P

9/7

15/11

 

P5/7

 

 

 

 

13/11

P3/17

   

7/P3

 

π*

11/7

 

15/17

 

 

P3/9

P3

 

 

P3/P5

P15

 

OVERTONES

TEMPERAMENT

SACHS

SCALES

Keyboard 3 (+16.6¢)
Keyboard 6 (-33.3¢)
 

15P

 

P5/P3

   

P3/7

 

3P

 

9/P3

 

 

17/15

7/11

π

 

 

11/13

17/P3

 

 

 

 

7/P5

   

9/13

 

7/9

 

P7

 

 

11/P3

13/8

 

11/15

 

13/7

P5/13

 

* In order for 8/13 to be designated P13 It Would Have To Be 41¢ Sharp.

46 NOTE SUBSET

* see PAUL ERLICH'S 17-LIMIT TABLE

see 72-TET NOTE NUMBERS

HARP

13th Harmonic

π (Pi)

Microfest.org

Lou Harrison House

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

 

 

* π (Pi)

 

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

"C" Overtone Series
 
Hear the World's Oldest Instrument, the "Neanderthal Flute," Dating Back Over 43,000 Years
Sonido Trece de Julian Carrillo
Anastatica project revives old Greek music and spreads it all over the world
Music Theory: Exploring the 432 Hz Tuning Debate
Meera (1947); Hari aawan ki awaaz, aaj suni mein
 

Meera (1947); Chaakar raakho ji

Hear the Earliest Known Piece of Polyphonic Music: This Composition, Dating Back to 900 AD, Changed Western Music

 
M S Subulakshmi - bhaja govindam
 
The 1st Song of M S Subbulakshmi (on Murugan) 10 years old (1926)
M S Subbulakshmi - Raag Vasanta - Sitamma Mayamma
M S Subbulakshmi - Ksheera Sagara Shayama - Devagandhari - Tyagaraja Swami
Nagendra Haraya - M S Subbulakshmi - Adi Shankaracharya
M S Subbulakshmi, Sarasaksha - Pantuvarali - Maharaja Swati Tirunal
 
Tales of Heike
 
Wykeham "~Atsumori - Tale of The Heike" (biwa shakuhachi koto Japanese Musical Instruments)
 

 

Ancient Instruments From India: The Veena Family

 

Meerabai Songs
srikrishnaradha.com
Longest flute (Azharuddin Shaikh)
John Coltrane Giant Steps Carnatic Scatting #3 by Varijashree  
S Balachander - Veena - Doordarshan Silver Jubilee - 46m 28s
   

 

The Gamelan Music of Bali (World Music Library) [Full Album]

 

Acoustics of the Balinese Gamelan
Pandit Gopal Krishnan Raga Darbari on Vichitra Veena
Ustad Asad Ali Khan - Raga Yaman Kalyan - Rudra Veena - Rudra Vina - Dhrupad, Dresden 4 May 2003 Paixão de um capoeira (Carol Maschio)   Preto velho . . . (Carol Maschio) Malandragem (cantada por Carol Maschio)      

 

Dali Music Iraqi Music Song Kurdish Arabish Remix clip

 

Enanga (enuma)
     
Glenn Gould Explains the Genius of Johann Sebastian Bach (1962)
     

 

Horniman Museum and Gardens (London, England)

 

Oguggwa-Ekivuga ky'endigidi mu Buganda

acholi enanga (uganda, 1969)
The Divje Babe Flute, found in 1995 is 43,000-years-old. Enanga music from Kabale, Uganda            

 

A New Quarter-tone Piano Acquired To The Sibelius Academy

 

sheng
               
 
Farewell To The Orchestra
 
Reading List
 
Alla Road Music Studio
 
 
Revised: June 14, 2017
© 2017 Rick Tagawa