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| Line 44: |
Line 44: |
| * [[Sqrtphi]] (+15625/15552) → [[Kleismic family #Sqrtphi|Kleismic family]] | | * [[Sqrtphi]] (+15625/15552) → [[Kleismic family #Sqrtphi|Kleismic family]] |
| * ''[[Rainwell]]'' (+2100875/2097152) → [[Semicomma family #Rainwell|Semicomma family]] | | * ''[[Rainwell]]'' (+2100875/2097152) → [[Semicomma family #Rainwell|Semicomma family]] |
| | * ''[[Browser]]'' (+78732/78125) → [[Sensipent family #Browser|Sensipent family]] |
| * ''[[Quintiquart]]'' (+390625000/387420489) → [[Quartonic family #Quintiquart|Quartonic family]] | | * ''[[Quintiquart]]'' (+390625000/387420489) → [[Quartonic family #Quintiquart|Quartonic family]] |
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| For ''no-2's'' extensions, see [[No-twos subgroup temperaments #Canopus]]. | | For ''no-2's'' extensions, see [[No-twos subgroup temperaments #Canopus]]. |
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| Considered below are mirkat, eris, subsemifourth, septendesemi, gaster, hemiseptisix, browser, and grazer, in the order of increasing [[badness]]. | | Considered below are mirkat, eris, subsemifourth, septendesemi, gaster, hemiseptisix, and grazer, in the order of increasing [[badness]]. |
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| == Mirkat == | | == Mirkat == |
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| Badness (Sintel): 0.948 | | Badness (Sintel): 0.948 |
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| == Browser ==
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| {{See also| Sensipent family }}
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| Named by [[Xenllium]] in 2022, browser may be described as the {{nowrap| 103 & 111 }} temperament.
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| This can also be considered a [[non-over-1 temperament]], with considerable scope for harmony in the 2.5/3.7/3.11/3.13/3.17/3 subgroup with mos scales of 8, 15, 23, and 31 notes despite no harmonics from the root. It can be considered a detemperament of 8d-et, with a generator very slightly flat of 7\8.
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| [[Subgroup]]: 2.3.5.7
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| [[Comma list]]: 16875/16807, 78732/78125
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| {{Mapping|legend=1| 1 -29 -37 -47 | 0 35 45 57 }}
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| : mapping generators: ~2, ~90/49
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| [[Optimal tuning]]s:
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| * [[WE]]: ~2 = 1199.9313{{c}}, ~90/49 = 1048.5414{{c}}
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| : [[error map]]: {{val| -0.069 -1.013 +0.592 +1.264 }}
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| * [[CWE]]: ~2 = 1200.0000{{c}}, ~90/49 = 1048.5998{{c}}
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| : error map: {{val| 0.000 -0.962 +0.677 +1.362 }}
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| {{Optimal ET sequence|legend=1| 103, 111, 214 }}
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| [[Badness]] (Sintel): 4.57
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| === 11-limit ===
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| Subgroup: 2.3.5.7.11
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| Comma list: 540/539, 1375/1372, 78732/78125
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| {{Mapping|legend=0| 1 -29 -37 -47 -28 | 0 35 45 57 36 }}
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| Optimal tunings:
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| * WE: ~2 = 1200.1344{{c}}, ~11/6 = 1048.7124{{c}}
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| * CWE: ~2 = 1200.0000{{c}}, ~11/6 = 1048.5981{{c}}
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| {{Optimal ET sequence|legend=0| 103, 214 }}
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| Badness (Sintel): 1.91
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| === 13-limit ===
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 351/350, 540/539, 847/845, 1375/1372
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| {{Mapping|legend=0| 1 -29 -37 -47 -28 -33 | 0 35 45 57 36 42 }}
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| Optimal tunings:
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| * WE: ~2 = 1200.1344{{c}}, ~11/6 = 1048.7124{{c}}
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| * CWE: ~2 = 1200.0000{{c}}, ~11/6 = 1048.5984{{c}}
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| {{Optimal ET sequence|legend=0| 103, 111, 214 }}
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| Badness (Sintel): 1.19
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| === 17-limit ===
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| Subgroup: 2.3.5.7.11.13.17
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| Comma list: 351/350, 540/539, 561/560, 715/714, 847/845
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| {{Mapping|legend=0| 1 -29 -37 -47 -28 -33 -23 | 0 35 45 57 36 42 31 }}
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| Optimal tunings:
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| * WE: ~2 = 1199.9191{{c}}, ~11/6 = 1048.5324{{c}}
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| * CWE: ~2 = 1200.0000{{c}}, ~11/6 = 1048.6014{{c}}
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| {{Optimal ET sequence|legend=0| 103, 111, 214 }}
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| Badness (Sintel): 1.04
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| === 19-limit ===
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| Subgroup: 2.3.5.7.11.13.17.19
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| Comma list: 324/323, 351/350, 456/455, 495/494, 540/539, 715/714
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| {{Mapping|legend=0| 1 -29 -37 -47 -28 -33 -23 -91 | 0 35 45 57 36 42 31 109 }}
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| Optimal tunings:
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| * WE: ~2 = 1199.9145{{c}}, ~11/6 = 1048.5290{{c}}
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| * CWE: ~2 = 1200.0000{{c}}, ~11/6 = 1048.6021{{c}}
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| {{Optimal ET sequence|legend=0| 103h, 111, 214 }}
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| Badness (Sintel): 1.07
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| == Grazer == | | == Grazer == |