Porcusmine: Difference between revisions

CellularAutomaton (talk | contribs)
added modes
CellularAutomaton (talk | contribs)
added tuning section (incomplete)
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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
|}
== 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
|
|-
|19edo
|3:2:1
|excellent pental thirds, fairly good 3-limit
|
|-
|23edo
|4:2:1
|excellent 6/5 and 9/8, fairly good 7/5
|
|-
|26edo
|4:3:1
|excellent 10/9, 11/8, and 7/4; fairly good 5/4 and 3/2
|
|-
|27edo
|4:3:2
|
|
|-
|27edo
|5:2:1
|
|
|-
|30edo
|5:3:1
|
|
|-
|31edo
|5:3:2
|
|
|-
|31edo
|6:2:1
|
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|-
|33edo
|5:4:1
|
|
|-
|34edo
|5:4:2
|
|
|-
|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
|
|
|}
|}