Porcusmine: Difference between revisions
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Porcusmine has 8 modes. Names are provided based on porcupine (tuning-neutral) and smitonic (for tunings where s is small), as well as a unique portmanteau name. When M and s are close, the scale approaches [[Diminished|diminshed]] ([[4L 4s]]), which has two distinct modes and is therefore not useful for naming. The porcupine mode names refer to William Lynch's names, and the smitonic mode names refer to [[User:Ayceman|Alexandru Ianu]]'s names. Below are the modes arranged in cyclic order: | Porcusmine has 8 modes. Names are provided based on porcupine (tuning-neutral) and smitonic (for tunings where s is small), as well as a unique portmanteau name. When M and s are close, the scale approaches [[Diminished|diminshed]] ([[4L 4s]]), which has two distinct modes and is therefore not useful for naming. The porcupine mode names refer to William Lynch's names, and the smitonic mode names refer to [[User:Ayceman|Alexandru Ianu]]'s names. Below are the modes arranged in cyclic order: | ||
{| class="wikitable" | {| class="wikitable" | ||
!Modes in cyclic order | !Modes in cyclic order | ||
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Whothic | Whothic | ||
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== Tunings == | |||
{| class="wikitable sortable" | |||
|+Porcusmine tunings | |||
!Tuning | |||
!L:M:s | |||
!Good JI approximations | |||
!Other notes | |||
|- | |||
|JI (5-limit interpretation) | |||
|2.581:1.885:1 | |||
|just 3/2, 4/3, 6/5, 5/4, 9/8, and 16/9 | |||
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|- | |||
|19edo | |||
|3:2:1 | |||
|excellent pental thirds, fairly good 3-limit | |||
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|- | |||
|23edo | |||
|4:2:1 | |||
|excellent 6/5 and 9/8, fairly good 7/5 | |||
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|- | |||
|26edo | |||
|4:3:1 | |||
|excellent 10/9, 11/8, and 7/4; fairly good 5/4 and 3/2 | |||
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|- | |||
|27edo | |||
|4:3:2 | |||
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|27edo | |||
|5:2:1 | |||
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|- | |||
|30edo | |||
|5:3:1 | |||
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|- | |||
|31edo | |||
|5:3:2 | |||
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|31edo | |||
|6:2:1 | |||
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|33edo | |||
|5:4:1 | |||
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|- | |||
|34edo | |||
|5:4:2 | |||
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|- | |||
|34edo | |||
|6:3:1 | |||
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|- | |||
|35edo | |||
|5:4:3 | |||
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|- | |||
|35edo | |||
|6:3:2 | |||
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|- | |||
|35edo | |||
|7:2:1 | |||
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|} | |} | ||