10edo: Difference between revisions

Sintel (talk | contribs)
Approximation to JI: -zeta peak index
m Septimal blackwood is now canon
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! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br />8ve stretch (¢)
! rowspan="2" | Optimal<br>8ve stretch (¢)
! colspan="2" | Tuning error
! colspan="2" | Tuning error
|-
|-
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| 2.3.5
| 2.3.5
| 25/24, 256/243
| 25/24, 256/243
| {{mapping| 10 16 23 }}
| {{Mapping| 10 16 23 }}
| -0.089
| -0.089
| 9.27
| 9.27
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| 2.3.5.7
| 2.3.5.7
| 25/24, 28/27, 49/48
| 25/24, 28/27, 49/48
| {{mapping| 10 16 23 28 }}
| {{Mapping| 10 16 23 28 }}
| +0.718
| +0.718
| 8.15
| 8.15
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| 2.3.5.7.13
| 2.3.5.7.13
| 25/24, 28/27, 40/39, 49/48
| 25/24, 28/27, 40/39, 49/48
| {{mapping| 10 16 23 28 37 }}
| {{Mapping| 10 16 23 28 37 }}
| +0.603
| +0.603
| 7.30
| 7.30
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{| class="commatable wikitable center-1 center-2 right-4 center-5"
{| class="commatable wikitable center-1 center-2 right-4 center-5"
|-
|-
! [[Harmonic limit|Prime<br />limit]]
! [[Harmonic limit|Prime<br>limit]]
! [[Ratio]]<ref group="note">{{rd}}</ref>
! [[Ratio]]<ref group="note">{{rd}}</ref>
! [[Monzo]]
! [[Monzo]]
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{| class="wikitable center-1 center-2"
{| class="wikitable center-1 center-2"
|-
|-
! Periods<br />per 8ve
! Periods<br>per 8ve
! Generator
! Generator
! Temperament(s)
! Temperament(s)
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| 5
| 5
| 1\10
| 1\10
| [[Blackwood]] / [[blacksmith]]
| [[Blackwood]]
|}
|}


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=== Other scales ===
=== Other scales ===
* [[The Pinetone System#Pinetone pentatonic|Pinetone major pentatonic]] (subset of Dicot[7]): 2 1 3 1 3
* [[Pinetone #Pinetone pentatonic|Pinetone major pentatonic]] (subset of Dicot[7]): 2 1 3 1 3
* [[The Pinetone System#Pinetone pentatonic|Pinetone minor pentatonic]] (subset of Dicot[7]): 3 1 2 3 1
* [[Pinetone #Pinetone pentatonic|Pinetone minor pentatonic]] (subset of Dicot[7]): 3 1 2 3 1
* [[Marvel hexatonic|Marvel augmented hexatonic]] (subset of Dicot[7]): 2 1 3 1 2 1
* [[Marvel hexatonic|Marvel augmented hexatonic]] (subset of Dicot[7]): 2 1 3 1 2 1
* Marvel double harmonic hexatonic (subset of Dicot[7]): 1 2 1 3 2 1, 1 2 3 1 2 1
* Marvel double harmonic hexatonic (subset of Dicot[7]): 1 2 1 3 2 1, 1 2 3 1 2 1