Schismatic family: Difference between revisions

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[[Tuning ranges]]:  
[[Tuning ranges]]:  
* [[Diamond monotone]] range: ~3/2 = [685.714, 705.882] (4\7 to 10\17)
* 5-odd-limit [[diamond monotone]]: ~3/2 = [685.714, 705.882] (4\7 to 10\17)
* [[Diamond tradeoff]] range: ~3/2 = [701.711, 701.955]
* 5-odd-limit [[diamond tradeoff]]: ~3/2 = [701.711, 701.955]
* Diamond monotone and tradeoff: ~3/2 = [701.711, 701.955]
* 5-odd-limit diamond monotone and tradeoff: ~3/2 = [701.711, 701.955]


{{Vals|legend=1| 12, 29, 41, 53, 118, 171, 289, 460, 749, 3456bc, 4205bc, 4954bc, 5703bbc, 6452bbcc }}
{{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 not discussed here include [[Sensamagic clan #Salsa|salsa]], [[Gamelismic clan #Guiron|guiron]], [[Porwell temperaments #Hemischis|hemischis]] and [[Turkish maqam music temperaments #Karadeniz temperament|karadeniz]].
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]]:  
* [[Diamond monotone]] range: ~3/2 = [700.000, 703.448] (7\12 to 17\29)
* 7- and 9-odd-limit [[diamond monotone]]: ~3/2 = [700.000, 703.448] (7\12 to 17\29)
* [[Diamond tradeoff]] range: ~3/2 = [701.711, 702.915]
* 7- and 9-odd-limit [[diamond tradeoff]]: ~3/2 = [701.711, 702.915]
* Diamond monotone and 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:  
* Diamond monotone range: ~3/2 = [701.887, 702.439] (31\53 to 24\41)
* 11-odd-limit diamond monotone: ~3/2 = [701.887, 702.439] (31\53 to 24\41)
* Diamond tradeoff range: ~3/2 = [701.711, 702.915]
* 11-odd-limit diamond tradeoff: ~3/2 = [701.711, 702.915]
* Diamond monotone and tradeoff: ~3/2 = [701.887, 702.439]
* 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:  
* Diamond monotone range: ~3/2 = [701.887, 702.439] (31\53 to 24\41)
* 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]  
* Diamond monotone and tradeoff: ~3/2 = [701.887, 702.439]
* 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:  
* Diamond monotone range: ~3/2 = [700.000, 703.448] (7\12 to 17\29)
* 11-odd-limit diamond monotone: ~3/2 = [700.000, 703.448] (7\12 to 17\29)
* Diamond tradeoff range: ~3/2 = [701.711, 704.377]
* 11-odd-limit diamond tradeoff: ~3/2 = [701.711, 704.377]
* Diamond monotone and tradeoff: ~3/2 = [701.711, 703.448]
* 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:  
* Diamond monotone range: ~3/2 = [702.439, 703.448] (24\41 to 17\29)
* 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]
* Diamond monotone and tradeoff: ~3/2 = [702.439, 703.448]
* 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]]:  
* [[Diamond monotone]] range: ~3/2 = [701.538, 701.886] (38\65 to 31\53)
* 7- and 9-odd-limit [[diamond monotone]]: ~3/2 = [701.538, 701.886] (38\65 to 31\53)
* [[Diamond tradeoff]] range: ~3/2 = [701.711, 701.955]
* 7- and 9-odd-limit [[diamond tradeoff]]: ~3/2 = [701.711, 701.955]
* Diamond monotone and tradeoff: ~3/2 = [701.711, 701.886]
* 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 }}