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Septimal modified meantone II

🔗Tom Dent <stringph@gmail.com>

3/23/2006 9:15:42 AM

This one is a little less straightforward to write down, but I think
musically better since the variance of fifths away from pure is less
while the number of pure thirds is the same and there is one more pure
septimal interval. Eb-Bb and C#-G# are now pure and C-G / E-B very
slightly flat. The sequence of fifths is still symmetrical about D-A.
The 'wolf' G#-Eb is now 32/21 (729.2c or 27.3c sharp). F-G# and Eb-C#
are 75/64 (7.7c sharp of 7/6) whereas Bb-C# is pure 7/6.

C 1
E 5/4
F# 7/5
D 28/25
Bb 224/125
Eb 448/375
G# 196/125
C# 392/375
A 3136/1875
F 12544/9375
B 87808/46875
G 351232/234375

(This would look a lot simpler if one took Eb to equal 1...)

The syntonic comma is now divided as 702464/703125 * 3125/3136 *
224/225 * 3125/3136 in the fifths C-G-D-A-E resp.

~~~T~~~