Hemimage temperaments: Difference between revisions
Add tuning ranges for Cotoneum temperament |
Add minimax tuning for Cotoneum temperament |
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[[POTE generator]]: ~3/2 = 702.317 | [[POTE generator]]: ~3/2 = 702.317 | ||
[[Minimax tuning]]: | |||
* 7-odd-limit | |||
: [{{Monzo| 1 0 0 0 }}, {{Monzo| 8/5 1/50 -1/50 0 }}, {{Monzo| 8/5 -49/50 49/50 0 }}, {{Monzo| 13/5 -7/25 7/25 0 }}] | |||
: [[Eigenmonzo]]s: 2, 6/5 | |||
* 9-odd-limit | |||
: [{{Monzo| 1 0 0 0 }}, {{Monzo| 80/51 2/51 -1/51 0 }}, {{Monzo| 160/51 -98/51 49/51 0 }}, {{Monzo| 155/51 -28/51 14/51 0 }}] | |||
: Eigenmonzos: 2, 10/9 | |||
[[Tuning ranges]]: | [[Tuning ranges]]: | ||
*7-odd-limit [[diamond monotone]]: ~3/2 = [701.5385, 703.0303] (38\65 to 58\99) | * 7-odd-limit [[diamond monotone]]: ~3/2 = [701.5385, 703.0303] (38\65 to 58\99) | ||
*9-odd-limit diamond monotone: ~3/2 = [701.8868, 703.0303] (31\53 to 58\99) | * 9-odd-limit diamond monotone: ~3/2 = [701.8868, 703.0303] (31\53 to 58\99) | ||
*[[diamond tradeoff]] range: ~3/2 = [701.9550, 702.3575] | * [[diamond tradeoff]] range: ~3/2 = [701.9550, 702.3575] | ||
*diamond monotone and tradeoff: ~3/2 = [701.9550, 702.3575] | * diamond monotone and tradeoff: ~3/2 = [701.9550, 702.3575] | ||
{{Val list|legend=1| 41, 135c, 176, 217, 258, 475 }} | {{Val list|legend=1| 41, 135c, 176, 217, 258, 475 }} | ||
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POTE generator: ~3/2 = 702.303 | POTE generator: ~3/2 = 702.303 | ||
Minimax tuning: | |||
* 11-odd-limit eigenmonzos: 2, 11/10 | |||
Tuning ranges: | Tuning ranges: | ||
*diamond monotone range: ~3/2 = [702.1277, 702.4390] (55\94 to 24\41) | * diamond monotone range: ~3/2 = [702.1277, 702.4390] (55\94 to 24\41) | ||
*diamond tradeoff range: ~3/2 = [701.9550, 702.3575] | * diamond tradeoff range: ~3/2 = [701.9550, 702.3575] | ||
*diamond monotone and tradeoff: ~3/2 = [702.1277, 702.3575] | * diamond monotone and tradeoff: ~3/2 = [702.1277, 702.3575] | ||
Vals: {{Val list| 41, 135c, 176, 217 }} | Vals: {{Val list| 41, 135c, 176, 217 }} | ||
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POTE generator: ~3/2 = 702.306 | POTE generator: ~3/2 = 702.306 | ||
Minimax tuning: | |||
* 13-odd-limit eigenmonzos: 2, 11/10 | |||
* 15-odd-limit eigenmonzos: 2, 15/11 | |||
Tuning ranges: | Tuning ranges: | ||
*diamond monotone range: ~3/2 = [702.2222, 702.4390] (79\135 to 24\41) | * diamond monotone range: ~3/2 = [702.2222, 702.4390] (79\135 to 24\41) | ||
*13-odd-limit diamond tradeoff: ~3/2 = [701.9550, 702.3575] | * 13-odd-limit diamond tradeoff: ~3/2 = [701.9550, 702.3575] | ||
*15-odd-limit diamond tradeoff: ~3/2 = [701.9550, 702.3693] | * 15-odd-limit diamond tradeoff: ~3/2 = [701.9550, 702.3693] | ||
*13-odd-limit diamond monotone and tradeoff: ~3/2 = [702.2222, 702.3575] | * 13-odd-limit diamond monotone and tradeoff: ~3/2 = [702.2222, 702.3575] | ||
*15-odd-limit diamond monotone and tradeoff: ~3/2 = [702.2222, 702.3693] | * 15-odd-limit diamond monotone and tradeoff: ~3/2 = [702.2222, 702.3693] | ||
Vals: {{Val list| 41, 176, 217 }} | Vals: {{Val list| 41, 176, 217 }} | ||
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POTE generator: ~3/2 = 702.307 | POTE generator: ~3/2 = 702.307 | ||
Minimax tuning: | |||
* 17-odd-limit eigenmonzos: 2, 15/11 | |||
Tuning ranges: | Tuning ranges: | ||
*diamond monotone range: ~3/2 = [702.2727, 702.4390] (103\176 to 24\41) | * diamond monotone range: ~3/2 = [702.2727, 702.4390] (103\176 to 24\41) | ||
*diamond tradeoff range: ~3/2 = [701.9550, 702.3693] | * diamond tradeoff range: ~3/2 = [701.9550, 702.3693] | ||
*diamond monotone and tradeoff: ~3/2 = [702.2727, 702.3693] | * diamond monotone and tradeoff: ~3/2 = [702.2727, 702.3693] | ||
Vals: {{Val list| 41, 176, 217 }} | Vals: {{Val list| 41, 176, 217 }} | ||
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POTE generator: ~3/2 = 702.308 | POTE generator: ~3/2 = 702.308 | ||
Minimax tuning: | |||
* 19- and 21-odd-limit eigenmonzos: 2, 15/11 | |||
Tuning ranges: | Tuning ranges: | ||
*diamond monotone range: ~3/2 = [702.2727, 702.4390] (103\176 to 24\41) | * diamond monotone range: ~3/2 = [702.2727, 702.4390] (103\176 to 24\41) | ||
*diamond tradeoff range: ~3/2 = [701.9550, 702.3771] | * diamond tradeoff range: ~3/2 = [701.9550, 702.3771] | ||
*diamond monotone and tradeoff: ~3/2 = [702.2727, 702.3771] | * diamond monotone and tradeoff: ~3/2 = [702.2727, 702.3771] | ||
Vals: {{Val list| 41, 176, 217 }} | Vals: {{Val list| 41, 176, 217 }} |