87th-octave temperaments: Difference between revisions
Created page with "One step of 87edo is in direct proximity to starling comma, 126/125. ==Francium== Francium tempers out the euzenius comma and the 87-126/125 comma in the 7-limit, her..." |
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One step of 87edo is in direct proximity to starling comma, [[126/125]]. | {{Infobox fractional-octave|87}} | ||
One step of [[87edo]] is in direct proximity to starling comma, [[126/125]]. | |||
==Francium== | == 87-126/125-commatic == | ||
Francium tempers out the [[euzenius comma]] and the 87-126/125 comma in the 7-limit | An extremely precise microtemperament provided by tempering the comma which is the difference between a stack of 87 [[126/125]]s and the octave. 87edo itself, notably, does the mapping consistently. | ||
Subgroup: 2.3.5.7 | |||
Comma list: {{monzo| 86 174 -261 87 }} | |||
{{Mapping|legend=1| 87 87 174 262 | 0 1 0 -2 | 0 0 1 3 }} | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~126/125 = 1\87, ~3/2 = 701.955{{c}}, ~5/4 = 386.314 | |||
: [[error map]]: {{val| -0.000, -0.000, 0.000, -0.000 }} | |||
* [[CWE]]: ~126/125 = 1\87, ~3/2 = 701.955{{c}}, ~5/4 = 386.314 | |||
: error map: {{val| -0.000, -0.000, 0.000, -0.000 }} | |||
[[Support]]ing [[ET]]s: {{EDOs| 87, 609, 696, 783, 870, 1305, 1479, ... }} | |||
== Francium == | |||
Francium tempers out the [[euzenius comma]] and the 87-126/125 comma in the 7-limit. | |||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 15: | Line 33: | ||
Badness: 0.762 | Badness: 0.762 | ||
===11-limit=== | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 27: | Line 46: | ||
Badness: 0.352 | Badness: 0.352 | ||
{{Navbox fractional-octave}} | |||
[[Category:87edo]] | |||