Valentine
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Generator Chain[edit]
Generators | Cents* | 11-limit ratios
(valentine mapping) |
13-limit ratios
(valentino mapping) |
13-limit ratios
(lupercalia mapping) |
13-limit ratios
(dwynwen mapping) |
---|---|---|---|---|---|
0 | 0.00 | 1/1 | |||
1 | 77.88 | 21/20, 22/21, 25/24 | 26/25 | 27/26 | |
2 | 155.76 | 12/11, 11/10, 35/32 | 13/12 | ||
3 | 233.64 | 8/7 | 15/13 | ||
4 | 311.52 | 6/5 | 13/11 | ||
5 | 389.41 | 5/4 | 26/21, 33/26 | ||
6 | 467.29 | 21/16 | 13/10 | ||
7 | 545.17 | 11/8, 15/11 | 18/13 | ||
8 | 623.05 | 10/7 | 56/39 | 13/9 | |
9 | 700.93 | 3/2 | 52/35 | ||
10 | 778.81 | 11/7, 25/16 | 52/33 | ||
11 | 856.69 | 18/11 | 64/39 | 13/8 | |
12 | 934.57 | 12/7 | 26/15 | ||
13 | 1012.46 | 9/5, 25/14 | |||
14 | 1090.34 | 15/8 | 13/7 | ||
15 | 1168.22 | 63/32, 96/49, 55/28, 108/55, 125/64 | 39/20 | ||
16 | 46.10 | 33/32, 36/35, 50/49 | 40/39 | 27/26 | 26/25 |
17 | 123.98 | 15/14, 27/25 | 14/13 | 13/12 | |
18 | 201.86 | 9/8 | |||
19 | 279.74 | 33/28 | 13/11 | ||
20 | 357.62 | 27/22 | 16/13 | 39/32 | 26/21 |
21 | 435.51 | 9/7 | 13/10 | ||
22 | 513.39 | 27/20 | 35/26 | ||
23 | 591.27 | 45/32 | 39/28 | ||
24 | 669.15 | 72/49 | 52/35 | ||
25 | 747.03 | 54/35 | 20/13 | ||
26 | 824.91 | 45/28 | 21/13 | 13/8 | |
27 | 902.79 | 27/16 | 22/13 | ||
28 | 980.67 | ||||
29 | 1058.56 | 90/49 | 24/13 | 13/7 | |
30 | 1136.44 | 27/14 | 25/13 | 39/20 | |
31 | 14.32 | 81/80, 99/98 |
- in 11-limit POTE tuning
Spectrum of Valentine Tunings by Eigenmonzos[edit]
Eigenmonzo | Minor Semitone |
---|---|
12/11 | 75.319 |
8/7 | 77.058 |
7/5 | 77.186 |
5/4 | 77.263 |
11/9 | 77.508 |
7/6 | 77.761 (7 limit minimax) |
9/7 | 77.861 (9 limit minimax) |
4/3 | 77.995 (5 limit minimax, Carlos Alpha tuning) |
14/11 | 78.249 (11 limit minimax) |
10/9 | 78.277 |
11/8 | 78.760 |
6/5 | 78.910 |
11/10 | 82.502 |