Schismatic family: Difference between revisions
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[[Tuning ranges]]: | [[Tuning ranges]]: | ||
* [[ | * 5-odd-limit [[diamond monotone]]: ~3/2 = [685.714, 705.882] (4\7 to 10\17) | ||
* [[ | * 5-odd-limit [[diamond tradeoff]]: ~3/2 = [701.711, 701.955] | ||
* | * 5-odd-limit diamond monotone and tradeoff: ~3/2 = [701.711, 701.955] | ||
{{ | {{Val list|legend=1| 12, 29, 41, 53, 118, 171, 289, 460, 749, 3456bc, 4205bc, 4954bc, 5703bbc, 6452bbcc }} | ||
[[Badness]]: 0.004259 | [[Badness]]: 0.004259 | ||
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* Sesquiquartififths adds {{monzo|-35 15 0 4}} and slices the fifth in four. | * Sesquiquartififths adds {{monzo|-35 15 0 4}} and slices the fifth in four. | ||
Temperaments | Temperaments discussed elsewhere include [[Sensamagic clan #Salsa|salsa]], [[Gamelismic clan #Guiron|guiron]], [[Porwell temperaments #Hemischis|hemischis]] and [[Turkish maqam music temperaments #Karadeniz temperament|karadeniz]]. Remarkable subgroup temperaments include [[Subgroup temperaments #Nestoria|nestoria]] and [[Subgroup temperaments #Photia|photia]]. | ||
== Garibaldi == | == Garibaldi == | ||
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[[Tuning ranges]]: | [[Tuning ranges]]: | ||
* [[ | * 7- and 9-odd-limit [[diamond monotone]]: ~3/2 = [700.000, 703.448] (7\12 to 17\29) | ||
* [[ | * 7- and 9-odd-limit [[diamond tradeoff]]: ~3/2 = [701.711, 702.915] | ||
* | * 7- and 9-odd-limit diamond monotone and tradeoff: ~3/2 = [701.711, 702.915] | ||
{{Val list|legend=1| 12, 29, 41, 53, 94, 241c, 335cd, 576ccd }} | {{Val list|legend=1| 12, 29, 41, 53, 94, 241c, 335cd, 576ccd }} | ||
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Tuning ranges: | Tuning ranges: | ||
* | * 11-odd-limit diamond monotone: ~3/2 = [701.887, 702.439] (31\53 to 24\41) | ||
* | * 11-odd-limit diamond tradeoff: ~3/2 = [701.711, 702.915] | ||
* | * 11-odd-limit diamond monotone and tradeoff: ~3/2 = [701.887, 702.439] | ||
Vals: {{Val list| 41, 53, 94, 229c, 323c, 417ce }} | Vals: {{Val list| 41, 53, 94, 229c, 323c, 417ce }} | ||
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Tuning ranges: | Tuning ranges: | ||
* | * 13- and 15-odd-limit diamond monotone: ~3/2 = [701.887, 702.439] (31\53 to 24\41) | ||
* 13-odd-limit diamond tradeoff: ~3/2 = [701.711, 703.597] | * 13-odd-limit diamond tradeoff: ~3/2 = [701.711, 703.597] | ||
* 15-odd-limit diamond tradeoff: ~3/2 = [701.676, 703.597] | * 15-odd-limit diamond tradeoff: ~3/2 = [701.676, 703.597] | ||
* | * 13- and 15-odd-limit diamond monotone and tradeoff: ~3/2 = [701.887, 702.439] | ||
Vals: {{Val list| 41, 53, 94, 429cdef, 523cdef }} | Vals: {{Val list| 41, 53, 94, 429cdef, 523cdef }} | ||
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Tuning ranges: | Tuning ranges: | ||
* | * 11-odd-limit diamond monotone: ~3/2 = [700.000, 703.448] (7\12 to 17\29) | ||
* | * 11-odd-limit diamond tradeoff: ~3/2 = [701.711, 704.377] | ||
* | * 11-odd-limit diamond monotone and tradeoff: ~3/2 = [701.711, 703.448] | ||
Vals: {{Val list| 12, 29, 41, 217ce, 258ce }} | Vals: {{Val list| 12, 29, 41, 217ce, 258ce }} | ||
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Tuning ranges: | Tuning ranges: | ||
* | * 13- and 15-odd-limit diamond monotone: ~3/2 = [702.439, 703.448] (24\41 to 17\29) | ||
* 13-odd-limit diamond tradeoff: ~3/2 = [701.711, 704.377] | * 13-odd-limit diamond tradeoff: ~3/2 = [701.711, 704.377] | ||
* 15-odd-limit diamond tradeoff: ~3/2 = [701.676, 704.377] | * 15-odd-limit diamond tradeoff: ~3/2 = [701.676, 704.377] | ||
* | * 13- and 15-odd-limit diamond monotone and tradeoff: ~3/2 = [702.439, 703.448] | ||
Vals: {{Val list| 12f, 29, 41, 152cdf, 193cdf, 234cdf }} | Vals: {{Val list| 12f, 29, 41, 152cdf, 193cdf, 234cdf }} | ||
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[[Tuning ranges]]: | [[Tuning ranges]]: | ||
* [[ | * 7- and 9-odd-limit [[diamond monotone]]: ~3/2 = [701.538, 701.886] (38\65 to 31\53) | ||
* [[ | * 7- and 9-odd-limit [[diamond tradeoff]]: ~3/2 = [701.711, 701.955] | ||
* | * 7- and 9-odd-limit diamond monotone and tradeoff: ~3/2 = [701.711, 701.886] | ||
{{Val list|legend=1| 53, 118, 171, 1592c, 1763c, 1934c, 2105c, 2276cd, 2447cd, 2618cd, 2789cd, 2960cd, 3131bcd }} | {{Val list|legend=1| 53, 118, 171, 1592c, 1763c, 1934c, 2105c, 2276cd, 2447cd, 2618cd, 2789cd, 2960cd, 3131bcd }} | ||