Hemimage temperaments: Difference between revisions
Add minimax tuning for Cotoneum temperament |
|||
| Line 191: | Line 191: | ||
[[Minimax tuning]]: | [[Minimax tuning]]: | ||
* 7-odd-limit | * 7-odd-limit: ~3/2 = {{Monzo| 3/5 1/50 -1/50 }} | ||
: [{{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 }}] | : [{{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 | : [[Eigenmonzo]]s: 2, 6/5 | ||
* 9-odd-limit | * 9-odd-limit: ~3/2 = {{Monzo| 29/51 2/51 -1/51 }} | ||
: [{{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 }}] | : [{{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 | : Eigenmonzos: 2, 10/9 | ||
| Line 201: | Line 201: | ||
* 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 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 }} | ||
| Line 218: | Line 218: | ||
Minimax tuning: | Minimax tuning: | ||
* 11-odd-limit | * 11-odd-limit: ~3/2 = {{Monzo| 41/72 0 -1/72 0 1/72 }} | ||
: Eigenmonzos: 2, 11/10 | |||
Tuning ranges: | Tuning ranges: | ||
* | * Diamond monotone range: ~3/2 = [702.1277, 702.4390] (55\94 to 24\41) | ||
* | * Diamond tradeoff range: ~3/2 = [701.9550, 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 }} | ||
| Line 239: | Line 240: | ||
Minimax tuning: | Minimax tuning: | ||
* 13-odd-limit | * 13-odd-limit: ~3/2 = {{Monzo| 41/72 0 -1/72 0 1/72 }} | ||
* 15-odd-limit | : Eigenmonzos: 2, 11/10 | ||
* 15-odd-limit: ~3/2 = {{Monzo| 42/71 -1/71 -1/71 0 1/71 }} | |||
: Eigenmonzos: 2, 15/11 | |||
Tuning ranges: | Tuning ranges: | ||
* | * 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] | ||
| Line 263: | Line 266: | ||
Minimax tuning: | Minimax tuning: | ||
* 17-odd-limit | * 17-odd-limit: ~3/2 = {{Monzo| 42/71 -1/71 -1/71 0 1/71 }} | ||
: Eigenmonzos: 2, 15/11 | |||
Tuning ranges: | Tuning ranges: | ||
* | * Diamond monotone range: ~3/2 = [702.2727, 702.4390] (103\176 to 24\41) | ||
* | * Diamond tradeoff range: ~3/2 = [701.9550, 702.3693] | ||
* | * Diamond monotone and tradeoff: ~3/2 = [702.2727, 702.3693] | ||
Vals: {{Val list| 41, 176, 217 }} | Vals: {{Val list| 41, 176, 217 }} | ||
| Line 284: | Line 288: | ||
Minimax tuning: | Minimax tuning: | ||
* 19- and 21-odd-limit | * 19- and 21-odd-limit: ~3/2 = {{Monzo| 42/71 -1/71 -1/71 0 1/71 }} | ||
: Eigenmonzos: 2, 15/11 | |||
Tuning ranges: | Tuning ranges: | ||
* | * Diamond monotone range: ~3/2 = [702.2727, 702.4390] (103\176 to 24\41) | ||
* | * Diamond tradeoff range: ~3/2 = [701.9550, 702.3771] | ||
* | * Diamond monotone and tradeoff: ~3/2 = [702.2727, 702.3771] | ||
Vals: {{Val list| 41, 176, 217 }} | Vals: {{Val list| 41, 176, 217 }} | ||