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1178edo: 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
| 2.3
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| 0.0318
| 0.0318
| 3.12
| 3.12
|}
{{comma basis end}}


=== 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*
! Temperaments
|-
|-
| 1
| 1
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|-
|-
| 19
| 19
| 489\1178<br>(7\1178)
| 489\1178<br />(7\1178)
| 498.13<br>(7.13)
| 498.13<br />(7.13)
| 4/3<br>(225/224)
| 4/3<br />(225/224)
| [[Enneadecal]]
| [[Enneadecal]]
|-
|-
| 31
| 31
| 581\1178<br>(11\1178)
| 581\1178<br />(11\1178)
| 591.851<br>(11.205)
| 591.851<br />(11.205)
| 936/665<br>(?)
| 936/665<br />(?)
| [[31st-octave temperaments#217 & 1178|217 & 1178]]
| [[31st-octave temperaments#217 & 1178|217 & 1178]]
|-
|-
| 38
| 38
| 260\1178<br>(12\1178)
| 260\1178<br />(12\1178)
| 264.86<br>(12.22)
| 264.86<br />(12.22)
| 500/429<br>(144/143)
| 500/429<br />(144/143)
| [[Semihemienneadecal]]
| [[Semihemienneadecal]]
|-
|-
| 38
| 38
| 489\1178<br>(7\1178)
| 489\1178<br />(7\1178)
| 498.13<br>(7.13)
| 498.13<br />(7.13)
| 4/3<br>(225/224)
| 4/3<br />(225/224)
| [[Hemienneadecal]]
| [[Hemienneadecal]]
|}
{{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 ==
; [[Eliora]]
; [[Eliora]]
* [https://www.youtube.com/watch?v=c9e7MTsIDc4 ''Listening''] (2023) – 217 & 1178 and enneadecal in 1178edo tuning
* [https://www.youtube.com/watch?v=c9e7MTsIDc4 ''Listening''] (2023) &ndash; 217 & 1178 and enneadecal in 1178edo tuning


[[Category:Enneadecal]]
[[Category:Enneadecal]]
[[Category:Hemienneadecal]]
[[Category:Hemienneadecal]]
[[Category:Listen]]
[[Category:Semihemienneadecal]]
[[Category:Semihemienneadecal]]
[[Category:Listen]]
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