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69edo: Difference between revisions

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Added table of rank 2 temperaments
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{{Harmonics in equal|69}}
{{Harmonics in equal|69}}


== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
! rowspan="2" | Subgroup
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve stretch (¢)
! colspan="2" | Tuning error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
| 2.3
| {{monzo| -109 69 }}
| [{{val| 69 109 }}]
| +1.99
| 1.99
| 11.43
|-
| 2.3.5
| 81/80, {{monzo| -41 1 17 }}
| [{{val| 69 109 160 }}]
| +1.86
| 1.64
| 9.40
|-
| 2.3.5.7
| 81/80, 126/125, 4117715/3981312
| [{{val| 69 109 160 193 }}] (69d)
| +2.49
| 1.79
| 10.28
|-
| 2.3.5.7
| 81/80, 3125/3087, 6144/6125
| [{{val| 69 109 160 194 }}] (69)
| +0.94
| 2.13
| 12.23
|}
==== Rank 2 temperaments ====
{| class="wikitable center-1 center-2"
|-
!Periods
per 8ve
!Generator
!Names
|-
|1
|2\69
|[[Gammy]]
|-
|1
|19\69
|[[Rarity]]
|-
|1
|20\69
|[[Mohaha]], [[Tritomere]]
|-
|1
|22\69
|[[Caleb]], [[Marveltri]]
|-
|1
|29\69
|[[Meantone]]
|-
|3
|5\69
|[[Augmented family#Ogene|Ogene]]
|-
| 3
|6\69
|[[August]]
|-
|3
| 9\69
|[[Nessafof]]
|}
== Table of intervals ==
== Table of intervals ==
{| class="wikitable mw-collapsible mw-collapsed collapsible center-1 right-3"
{| class="wikitable mw-collapsible mw-collapsed collapsible center-1 right-3"
Line 524: Line 444:
|}
|}
<nowiki>*</nowiki>some simpler ratios listed
<nowiki>*</nowiki>some simpler ratios listed
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
! rowspan="2" | Subgroup
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve stretch (¢)
! colspan="2" | Tuning error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
| 2.3
| {{monzo| -109 69 }}
| [{{val| 69 109 }}]
| +1.99
| 1.99
| 11.43
|-
| 2.3.5
| 81/80, {{monzo| -41 1 17 }}
| [{{val| 69 109 160 }}]
| +1.86
| 1.64
| 9.40
|-
| 2.3.5.7
| 81/80, 126/125, 4117715/3981312
| [{{val| 69 109 160 193 }}] (69d)
| +2.49
| 1.79
| 10.28
|-
| 2.3.5.7
| 81/80, 3125/3087, 6144/6125
| [{{val| 69 109 160 194 }}] (69)
| +0.94
| 2.13
| 12.23
|}
==== Rank 2 temperaments ====
{| class="wikitable center-1 center-2"
|-
!Periods
per 8ve
!Generator
!Names
|-
|1
|2\69
|[[Gammy]]
|-
|1
|19\69
|[[Rarity]]
|-
|1
|20\69
|[[Mohaha]], [[Tritomere]]
|-
|1
|22\69
|[[Caleb]], [[Marveltri]]
|-
|1
|29\69
|[[Meantone]]
|-
|3
|5\69
|[[Augmented family#Ogene|Ogene]]
|-
| 3
|6\69
|[[August]]
|-
|3
| 9\69
|[[Nessafof]]
|}


== Scales ==
== Scales ==
Retrieved from "https://en.xen.wiki/w/69edo"