Syntonic–chromatic equivalence continuum: Difference between revisions

CompactStar (talk | contribs)
Let the m-continuum be a thing
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{| class="wikitable center-1 center-2"
{| class="wikitable center-1 center-2"
|+ Temperaments in the continuum with integer ''n''
|+ Temperaments with integer ''n''
|-
|-
! rowspan="2" | ''k''
! rowspan="2" | ''k''
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|}
|}


We may also invert the continuum by setting ''m'' such that 1/''m'' + 1/''n'' = 1. The just value of ''m'' is 1.2333…
We may invert the continuum by setting ''m'' such that 1/''m'' + 1/''n'' = 1. This may be called the ''mavila/pelogic-chromatic equivalence continuum'', which is essentially the same thing. The just value of ''m'' is 1.2333…


{| class="wikitable center-1 center-2"
{| class="wikitable center-1"
|+ Temperaments in the continuum with integer ''m''
|+ Temperaments with integer ''m''
|-
|-
! rowspan="2" | ''m''
! rowspan="2" | ''m''
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{| class="wikitable"
{| class="wikitable"
|+ Notable temperaments of fractional ''n''
|+ Temperaments with fractional ''n'' and ''m''
|-
|-
! Temperament !! ''n'' !! ''m''
! Temperament !! ''n'' !! ''m''
|-
| [[Shallowtone]] || 1/2 = 0.5 || -1
|-
| [[Enipucrop]] || 3/2 = 1.5 || 3
|-
|-
| [[Seville]] || 7/3 = 2.{{overline|3}} || 7/4 = 1.75
| [[Seville]] || 7/3 = 2.{{overline|3}} || 7/4 = 1.75