Hemimage temperaments: Difference between revisions

Xenllium (talk | contribs)
Add tuning ranges for Cotoneum temperament
Xenllium (talk | contribs)
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 }}