Syntonic–chromatic equivalence continuum: Difference between revisions

Akselai (talk | contribs)
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Move 5-limit shallowtone here
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{| class="wikitable center-1 center-2"
{| class="wikitable center-1 center-2"
|+ Temperaments in the continuum
|+ Temperaments in the continuum with integer ''n''
|-
|-
! rowspan="2" | ''k''
! rowspan="2" | ''k''
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{| class="wikitable center-1 center-2"
{| class="wikitable center-1 center-2"
|+ Temperaments in the continuum
|+ Temperaments in the continuum with integer ''m''
|-
|-
! rowspan="2" | ''m''
! rowspan="2" | ''m''
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! Ratio
! Ratio
! Monzo
! Monzo
|-
| -1
| [[Shallowtone]]
| [[295245/262144]]
| {{monzo| -18 10 1 }}
|-
|-
| 0
| 0
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|-
|-
! Temperament !! ''n'' !! ''m''
! Temperament !! ''n'' !! ''m''
|-
| [[Shallowtone]] || 1/2 = 0.5 || -1
|-
|-
| [[Enipucrop]] || 3/2 = 1.5 || 3
| [[Enipucrop]] || 3/2 = 1.5 || 3
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[[Badness]]: 0.403
[[Badness]]: 0.403
== Shallowtone ==
:''For 7-limit extensions, see [[Mint temperaments #Shallowtone]].''
[[Subgroup]]: 2.3.5
[[Comma list]]: 295245/262144
{{Mapping|legend=1| 1 0 18 | 0 1 -10 }}
: mapping generators: ~2, ~3
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1\1, ~3/2 = 681.8012
* [[CWE]]: ~2 = 1\1, ~3/2 = 682.6617
{{Optimal ET sequence|legend=1| 7, 30b, 37b, 44b, 51b, 58bc, 65bbc }}
[[Badness]]: 0.666


== Nethertone ==
== Nethertone ==