21ed5/2: Difference between revisions
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From a no-threes point of view, 21ed5/2 tempers out [[50/49]] in the 7-limit (being a jubilic system similar to [[13ed5/2]]), [[625/616]] and [[176/175]] in the 11-limit, and 143/140, 715/686 and [[847/845]] in the 13-limit. It is not particularly excellent as a no-threes system with the 5/4 and 7/4 being noticeably off, but can work for 5/2-equivalent jubilic. | From a no-threes point of view, 21ed5/2 tempers out [[50/49]] in the 7-limit (being a jubilic system similar to [[13ed5/2]]), [[625/616]] and [[176/175]] in the 11-limit, and 143/140, 715/686 and [[847/845]] in the 13-limit. It is not particularly excellent as a no-threes system with the 5/4 and 7/4 being noticeably off, but can work for 5/2-equivalent jubilic. | ||
=== Harmonics === | == Harmonics == | ||
{{Harmonics in equal|21|5|2}} | {{Harmonics in equal | ||
| steps = 21 | |||
| num = 5 | |||
| denom = 2 | |||
}} | |||
{{Harmonics in equal | |||
| steps = 21 | |||
| num = 5 | |||
| denom = 2 | |||
| start = 12 | |||
| collapsed = 1 | |||
}} | |||
== Interval table == | == Interval table == | ||
| Line 96: | Line 107: | ||
|- | |- | ||
|16 | |16 | ||
| | |1208.620 | ||
| | |P | ||
|[[2/1]] | |[[2/1]] | ||
|- | |- | ||
|17 | |17 | ||
| | |1284.159 | ||
| | |P&, Q@ | ||
|[[52/25]] | |[[52/25]] | ||
|- | |- | ||
|18 | |18 | ||
| | |1359.698 | ||
| | |Q | ||
|[[11/5]] | |[[11/5]] | ||
|- | |- | ||
|19 | |19 | ||
| | |1435.236 | ||
| | |Q& | ||
|[[16/7]] | |[[16/7]] | ||
|- | |- | ||
|20 | |20 | ||
| | |1510.775 | ||
| | |J@ | ||
|[[26/11]] | |[[26/11]] | ||
|- | |- | ||
|21 | |21 | ||
| | |1586.314 | ||
| | |J | ||
|[[5/2]] | |[[5/2]] | ||
|} | |} | ||
<nowiki>*</nowiki> Based on treating 21ed5/2 as a no-threes 13-limit temperament | <nowiki>*</nowiki> Based on treating 21ed5/2 as a no-threes 13-limit temperament | ||