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9/8 equal temperament

Using a Just 9/8 whole tone as the basis of an equal temperament tuning results in an interesting non-octave tuning. As every interval is a multiple of 9/8, the resultant tuning would be a subset of 3-limit Just Intonation. This can be also viewed as generating a subset of baldy temperament.

Below is the scala file I used to generate A Bowl of Tibetan Bells by Chris Vaisvil (composition details)
and A Sonnet for Albert Einstein by Chris Vaisvil (details)


! E:\Cakewalk\scales\9_divided_by_8.scl
!
9/8 in 12
12
!
203.91
407.82
611.73
815.64
1019.55
1223.46
1427.37
1631.28
1835.19
2039.1
2243.01
2446.92


Intervals as 3-limit ratios


Ratio
Cents
(9/8)0
1/1
0.00
(9/8)1
9/8
203.91
(9/8)2
81/64
407.82
(9/8)3
729/512
611.73
(9/8)4
6561/4096
815.64
(9/8)5
59049/32768
1019.55
(9/8)6
531441/262144
1223.46
(9/8)7
4782969/2097152
1427.37
(9/8)8
43046721/16777216
1631.28
(9/8)9
387420489/134217728
1835.19
(9/8)10
3486784401/1073741824
2039.10
(9/8)11
31381059609/8589934592
2243.01
(9/8)12
282429536481/68719476736
2446.92