17ed10

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← 16ed1017ed1018ed10 →
Prime factorization 17 (prime)
Step size 234.489¢ 
Octave 5\17ed10 (1172.45¢)
Twelfth 8\17ed10 (1875.91¢)
(semiconvergent)
Consistency limit 9
Distinct consistency limit 4

17ED10 is the equal division of the 10th harmonic into 17 parts of 234.4890 cents each. It is related to the rodan temperament, which tempers out 196/195, 245/243, 352/351, and 364/363 in the 13-limit, which is supported by 41edo, 46edo, and 87edo.

degree cents value corresponding
JI intervals
comments
0 0.0000 exact 1/1
1 234.4890 8/7, 55/48
2 468.9781 72/55, 21/16
3 703.4671 3/2
4 937.9562 12/7, 55/32, 112/65
5 1172.4452 63/32, 128/65, 160/81
6 1406.9343 9/4
7 1641.4233 18/7
8 1875.9123 189/64, 192/65, 80/27
9 2110.4014 27/8, 325/96, 640/189
10 2344.8904 35/9
11 2579.3795 40/9
12 2813.8685 81/16, 325/64, 320/63
13 3048.3575 325/56, 64/11, 35/6
14 3282.8466 20/3
15 3517.3356 160/21, 275/36
16 3751.8247 96/11, 35/4
17 3986.3137 exact 10/1 just major third plus three octaves