Triple-Just 12-Tone Tuning System

Note: I'm completely new to alternative tunings and this mailing
list, and just arrived at this one intuitively, so I'd appreciate any
information regarding anybody who has already discovered and/or
elaborated this one before. Below is a copy of the post that I posted
earlier today to 8 usenet newsgroups.

The first person to respond told me about your mailing list, so that's
why I'm here. Thanks.

Bill Flavell

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This tuning system is based on the super-imposition of three just
tuning scales, the second being super-imposed on the F of the first
scale, and the third being super-imposed on the A of the first scale.

This results in twelve pitch classes and twenty-two distinct
whole-number-ratio intervals.

For those of you with synthesizers, sound cards and/or music software
that allows user-definable alternate tuning systems, I've provided the
frequency settings below for an octave approximately in the middle of
the keyboard range, which also has the minimum whole-number values for
the frequencies of the twelve pitches. To get the frequency values for
the higher and lower octaves, double and halve the values respectively.





Pitch Frequency Interval



C 1440

16/15

B 1350

135/128

A# 1280

16/15

A 1200

16/15

G# 1125

25/24

G 1080

9/8

F# 1000

25/24

F 960

16/15

E 900

10/9

D# 810

81/80

D 800

16/15

C# 750

25/24

C 720





I'm going to be hosting an e-mail mailing list regarding this tuning
system, so if you'd like to subscribe, please let me know by private
e-mail.

If you have a question or comment that you'd like a response to,
please also send that by private e-mail, since I may not have time to
follow the thread in the newsgroup. Thanks.



Bill Flavell ( triplejust@hotmail.com )

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