1ed10/9

10/9 equal temperament

Using a Just 10/9 whole tone as the basis of an equal temperament tuning results in an interesting non-octave tuning. As every interval is a multiple of 10/9, the resultant tuning would be a subset of 5-limit Just intonation. This can be also viewed as generating a subset of minortonic temperament.

Intervals as 5-limit ratios

Ratio		Cents
(10/9)0	1/1	0.0000
(10/9)1	10/9	182.4037
(10/9)2	100/81	364.8074
(10/9)3	1000/729	547.2111
(10/9)4	10000/6561	729.6148
(10/9)5	100000/59049	912.0186
(10/9)6	1000000/531441	1094.4223
(10/9)7	10000000/4782969	1276.8260
(10/9)8	100000000/43046721	1459.2297
(10/9)9	1000000000/387420489	1641.6334
(10/9)10	10000000000/3486784401	1824.0371
(10/9)11	100000000000/31381059609	2006.4408
(10/9)12	1000000000000/282429536481	2188.8445
(10/9)13	10000000000000/2541865828329	2371.2483
(10/9)14	100000000000000/22876792454961	2553.6520