Meantone family: Difference between revisions
m Sorting by extension strength |
m Improve wording on tuning ranges as generators |
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| Line 15: | Line 15: | ||
[[Comma list]]: 81/80 | [[Comma list]]: 81/80 | ||
[[Mapping]]: [{{val|1 0 -4}}, {{val|0 1 4}}] | [[Mapping]]: [{{val| 1 0 -4 }}, {{val| 0 1 4 }}] | ||
Mapping generators: ~2, ~3 | Mapping generators: ~2, ~3 | ||
| Line 24: | Line 24: | ||
[[Tuning ranges]]: | [[Tuning ranges]]: | ||
* valid range: [685.714, 720.000] (7 to 5) | * valid range: [685.714, 720.000] (4\7 to 3\5) | ||
* nice range: [694.786, 701.955] (1/3 comma to Pythagorean) | * nice range: [694.786, 701.955] (1/3 comma to Pythagorean) | ||
* strict range: [694.786, 701.955] | * strict range: [694.786, 701.955] | ||
| Line 72: | Line 72: | ||
[[Tuning ranges]]: | [[Tuning ranges]]: | ||
* valid range: [694.737, 700.000] (11\19 to 7\12) | * valid range: [694.737, 700.000] (11\19 to 7\12) | ||
* nice range: [694.786, 701.955] | * nice range: [694.786, 701.955] (1/3 comma to Pythagorean) | ||
* strict range: [694.786, 700.000] | * strict range: [694.786, 700.000] | ||
| Line 100: | Line 100: | ||
Tuning ranges: | Tuning ranges: | ||
* valid range: [696.774, 700.000] (31 to 12) | * valid range: [696.774, 700.000] (18\31 to 7\12) | ||
* nice range: [691.202, 701.955] | * nice range: [691.202, 701.955] | ||
* strict range: [696.774, 700.000] | * strict range: [696.774, 700.000] | ||
| Line 138: | Line 138: | ||
Tuning ranges: | Tuning ranges: | ||
* valid range: [696.774, 700.000] (31 to 12) | * valid range: [696.774, 700.000] (18\31 to 7\12) | ||
* nice range: [691.202, 701.955] | * nice range: [691.202, 701.955] | ||
* strict range: [696.774, 700.000] | * strict range: [696.774, 700.000] | ||
| Line 193: | Line 193: | ||
Tuning ranges: | Tuning ranges: | ||
* valid range: [694.737, 696.774] (19 to 31) | * valid range: [694.737, 696.774] (11\19 to 18\31) | ||
* nice range: [691.202, 701.955] | * nice range: [691.202, 701.955] | ||
* strict range: [694.737, 696.774] | * strict range: [694.737, 696.774] | ||
| Line 220: | Line 220: | ||
Tuning ranges: | Tuning ranges: | ||
* valid range: [694.737, 696.774] (19 to 31) | * valid range: [694.737, 696.774] (11\19 to 18\31) | ||
* nice range: [691.202, 701.955] | * nice range: [691.202, 701.955] | ||
* strict range: [694.737, 696.774] | * strict range: [694.737, 696.774] | ||
| Line 507: | Line 507: | ||
[[Tuning ranges]]: | [[Tuning ranges]]: | ||
* valid range: [692.308, 694.737] (26 to 19) | * valid range: [692.308, 694.737] (15\26 to 11\19) | ||
* nice range: [692.353, 701.955] | * nice range: [692.353, 701.955] | ||
* strict range: [692.353, 694.737] | * strict range: [692.353, 694.737] | ||
| Line 530: | Line 530: | ||
Tuning ranges: | Tuning ranges: | ||
* valid range: [692.308, 694.737] (26 to 19) | * valid range: [692.308, 694.737] (15\26 to 11\19) | ||
* nice range: [682.502, 701.955] | * nice range: [682.502, 701.955] | ||
* strict range: [692.308, 694.737] | * strict range: [692.308, 694.737] | ||
| Line 551: | Line 551: | ||
Tuning ranges: | Tuning ranges: | ||
* valid range: [692.308, 694.737] (26 to 19) | * valid range: [692.308, 694.737] (15\26 to 11\19) | ||
* nice range: [682.502, 701.955] | * nice range: [682.502, 701.955] | ||
* strict range: [692.308, 694.737] | * strict range: [692.308, 694.737] | ||
| Line 576: | Line 576: | ||
[[Tuning ranges]]: | [[Tuning ranges]]: | ||
* valid range: [700.000, 720.000] (12 to 5) | * valid range: [700.000, 720.000] (7\12 to 3\5) | ||
* nice range: [694.786, 715.587] | * nice range: [694.786, 715.587] | ||
* strict range: [700.000, 715.587] | * strict range: [700.000, 715.587] | ||
| Line 593: | Line 593: | ||
Tuning ranges: | Tuning ranges: | ||
* valid range: [700.000, 705.882] (12 to 17) | * valid range: [700.000, 705.882] (7\12 to 10\17) | ||
* nice range: [691.202, 715.587] | * nice range: [691.202, 715.587] | ||
* strict range: [700.000, 705.882] | * strict range: [700.000, 705.882] | ||
| Line 614: | Line 614: | ||
Tuning ranges: | Tuning ranges: | ||
* valid range: 705.882 (17) | * valid range: 705.882 (10\17) | ||
* nice range: [691.202, 715.587] | * nice range: [691.202, 715.587] | ||
* strict range: 705.882 | * strict range: 705.882 | ||
| Line 910: | Line 910: | ||
[[Tuning ranges]]: | [[Tuning ranges]]: | ||
* valid range: [240.000, 257.143] (5 to | * valid range: [240.000, 257.143] (1\5 to 3\14) | ||
* nice range: [231.174, 266.871] | * nice range: [231.174, 266.871] | ||
* strict range: [240.000, 257.143] | * strict range: [240.000, 257.143] | ||
| Line 931: | Line 931: | ||
Tuning ranges: | Tuning ranges: | ||
* valid range: [252.632, 257.143] (19 to | * valid range: [252.632, 257.143] (4\19 to 3\14) | ||
* nice range: [231.174, 266.871] | * nice range: [231.174, 266.871] | ||
* strict range: [252.632, 257.143] | * strict range: [252.632, 257.143] | ||
| Line 952: | Line 952: | ||
Tuning ranges: | Tuning ranges: | ||
* valid range: 694.737 (19) | * valid range: 694.737 (4\19) | ||
* nice range: [621.581, 737.652] | * nice range: [621.581, 737.652] | ||
* strict range: 694.737 | * strict range: 694.737 | ||
| Line 1,041: | Line 1,041: | ||
[[Tuning ranges]]: | [[Tuning ranges]]: | ||
* valid range: [685.714, 700.000] ( | * valid range: [685.714, 700.000] (8\14 to 7\12) | ||
* nice range: [688.957, 701.955] | * nice range: [688.957, 701.955] | ||
* strict range: [688.957, 700.000] | * strict range: [688.957, 700.000] | ||
| Line 1,067: | Line 1,067: | ||
Tuning ranges: | Tuning ranges: | ||
* valid range: [685.714, 700.000] ( | * valid range: [685.714, 700.000] (8\14 to 7\12) | ||
* nice range: [682.458, 701.955] | * nice range: [682.458, 701.955] | ||
* strict range: [685.714, 700.000] | * strict range: [685.714, 700.000] | ||
| Line 1,088: | Line 1,088: | ||
Tuning ranges: | Tuning ranges: | ||
* valid range: 692.308 (26) | * valid range: 692.308 (15\26) | ||
* nice range: [682.458, 701.955] | * nice range: [682.458, 701.955] | ||
* strict range: 692.308 (26) | * strict range: 692.308 (15\26) | ||
{{Val list|legend=1| 12f, 14cf, 26, 38e }} | {{Val list|legend=1| 12f, 14cf, 26, 38e }} | ||