144edo: Difference between revisions

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== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{{comma basis begin}}
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list|Comma List]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve Stretch (¢)
! colspan="2" | Tuning Error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
|-
| 2.3.5.7.11.13
| 2.3.5.7.11.13
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| 0.595
| 0.595
| 7.13
| 7.13
|-style="border-top: double;"
|- style="border-top: double;"
| 2.3.5.7.11.13.17
| 225/224, 243/242, 273/272, 325/324, 847/845, 875/867
| {{mapping| 144 228 334 404 498 533 589 }} (144)
| +0.362
| 0.734
| 8.80
|- style="border-top: double;"
| 2.3.5.7.11.13.17
| 2.3.5.7.11.13.17
| 170/169, 225/224, 243/242, 289/288, 375/374, 385/384
| 170/169, 225/224, 243/242, 289/288, 375/374, 385/384
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| 0.596
| 0.596
| 7.15
| 7.15
|-style="border-top: double;"
{{comma basis end}}
| 2.3.5.7.11.13.17
| 225/224, 243/242, 273/272, 325/324, 847/845, 875/867
| {{mapping| 144 228 334 404 498 533 589 }} (144)
| +0.362
| 0.734
| 8.80
|}


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{{rank-2 begin}}
|+Table of rank-2 temperaments by generator
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>Ratio*
! Temperament
|-
|-
| 1
| 1
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| 129/128
| 129/128
| [[Substitute harmonic#Dotcom|Dotcom]]
| [[Substitute harmonic#Dotcom|Dotcom]]
|}
{{rank-2 end}}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
{{orf}}


== Music ==
== Music ==
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== References ==
== References ==
<references/>
<references />


== External links ==
== External links ==