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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|207}}
{{ED intro}}


== Theory ==
== Theory ==
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=== Subsets and supersets ===
=== Subsets and supersets ===
Since 207 factors into 3<sup>2</sup> × 23, 207edo has subset edos {{EDOs| 3, 9, 23, and 69 }}.
Since 207 factors into {{factorisation|207}}, 207edo has subset edos {{EDOs| 3, 9, 23, and 69 }}.


== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{| class="wikitable center-4 center-5 center-6"
|-
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list|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
|-
|-
! [[TE error|Absolute]] (¢)
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
! [[TE simple badness|Relative]] (%)
|-
|-
| 2.3
| 2.3
| {{monzo|-328 207}}
| {{Monzo| -328 207 }}
| {{val|207 328}}
| {{Mapping| 207 328 }}
| +0.1595
| +0.1595
| 0.1596
| 0.1596
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|-
|-
| 2.3.5
| 2.3.5
| 32805/32768, {{monzo|2 31 -22}}
| 32805/32768, {{monzo| 2 31 -22 }}
| {{val|207 328 481}}
| {{Mapping| 207 328 481 }}
| -0.1942
| −0.1942
| 0.5166
| 0.5166
| 8.91
| 8.91
|-
|-
| 2.3.5.7
| 2.3.5.7
| 6144/6125, 19683/19600, 32805/32768
| 6144/6125, 19683/19600, 50421/50000
| {{val|207 328 481 581}}
| {{Mapping| 207 328 481 581 }}
| -0.0825
| −0.0825
| 0.4874
| 0.4874
| 8.41
| 8.41
|-
|-
| 2.3.5.7.11
| 2.3.5.7.11
| 441/440, 3388/3375, 3773/3750, 6144/6125
| 441/440, 3388/3375, 6144/6125, 19683/19600
| {{val|207 328 481 581 716}}
| {{Mapping| 207 328 481 581 716 }}
| -0.0317
| −0.0317
| 0.4477
| 0.4477
| 7.72
| 7.72
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| 2.3.5.7.11.13
| 2.3.5.7.11.13
| 351/350, 441/440, 676/675, 847/845, 3584/3575
| 351/350, 441/440, 676/675, 847/845, 3584/3575
| {{val|207 328 481 581 716 766}}
| {{Mapping| 207 328 481 581 716 766 }}
| -0.0287
| −0.0287
| 0.4087
| 0.4087
| 7.05
| 7.05
|-
|-
| 2.3.5.7.11.13.17
| 2.3.5.7.11.13.17
| 441/440, 561/560, 676/675, 936/935, 1632/1625, 8624/8619
| 351/350, 441/440, 561/560, 676/675, 847/845, 1089/1088
| {{val|207 328 481 581 716 766 846}}
| {{Mapping| 207 328 481 581 716 766 846 }}
| -0.0034
| −0.0034
| 0.3834
| 0.3834
| 6.61
| 6.61
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=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{| class="wikitable center-all left-5"
|+Table of rank-2 temperaments by generator
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|-
! Periods<br>per 8ve
! Periods<br>per 8ve
! Generator*
! Generator*
! Cents*
! Cents*
! Associated<br>Ratio*
! Associated<br>ratio*
! Temperaments
! Temperaments
|-
| 1
| 20\207
| 115.94
| 77/72
| [[Countermiracle]] / counterbenediction
|-
|-
| 1
| 1
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| 498.55
| 498.55
| 4/3
| 4/3
| [[Helmholtz]]
| [[Helmholtz (temperament)|Helmholtz]]
|}
|}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
<nowiki/>* In [[normal forms #Minimal-generator form|minimal-generator form]]
Retrieved from "https://en.xen.wiki/w/207edo"