Very low accuracy temperaments: Difference between revisions
+tunings and error maps |
Move ternary here |
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Badness (Smith): 0.059070 | Badness (Smith): 0.059070 | ||
== Ternary == | |||
Ternary is identical to [[3edo|3et]] in the 5-limit, but has an independent generator for prime 7. | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 10/9, 16/15 | |||
{{Mapping|legend=1| 3 5 7 0 | 0 0 0 1 }} | |||
: mapping generators: ~5/4, ~7 | |||
{{Multival|legend=1| 0 0 3 0 5 7 }} | |||
[[Optimal tuning]]s: | |||
* [[CTE]]: ~5/4 = 400.000, ~7/4 = 968.826 (~28/25 = 168.826) | |||
: [[error map]]: {{val| 0.000 +98.045 +13.686 0.000 }} | |||
* [[POTE]]: ~5/4 = 400.000, ~7/4 = 1034.013 (~15/14 = 165.987) | |||
: error map: {{val| 0.000 +98.045 +13.686 +65.187 }} | |||
{{Optimal ET sequence|legend=1| 3d, 6, 9bd }} | |||
[[Badness]] (Smith): 0.028673 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 10/9, 16/15, 22/21 | |||
Mapping: {{mapping| 3 5 7 0 2 | 0 0 0 1 1 }} | |||
Optimal tunings: | |||
* CTE: ~5/4 = 400.000, ~7/4 = 961.874 (~11/10 = 161.874) | |||
* POTE: ~5/4 = 400.000, ~7/4 = 1033.153 (~12/11 = 166.847) | |||
Optimal ET sequence: {{optimal ET sequence| 3de, 6 }} | |||
Badness (Smith): 0.025592 | |||
== Geryon == | == Geryon == | ||