Harmonisma: Difference between revisions

Keenan Pepper (talk | contribs)
clarify something that confused me when I read this
Temperaments: spell out the ratio cuz the corresponding articles are present
Line 13: Line 13:


== Temperaments ==
== Temperaments ==
Equal temperaments where this comma is tempered with very high accuracy will have an interval corresponding to a "sharp fifth" of (ideally) 706.7 to 706.9 cents, corresponding to the range of fifths from 13/11 * 14/11 on the lower end and 11/9 * 16/13 on the higher end. (This interval is not mapped to 3/2.) However, such temperaments are generally very precise, so [[224edo]], [[270edo]] and [[311edo]] offer slightly more manageable tunings. For less accurate temperaments still, 10648/10647 is notable as a comma of [[Subgroup_temperaments#Parapyth_.28Rank_3.29|parapyth]].
Equal temperaments where this comma is tempered with very high accuracy will have an interval corresponding to a "sharp fifth" of (ideally) 706.7 to 706.9 cents, corresponding to the range of fifths from 13/11 × 14/11 (→[[182/121]]) on the lower end and 11/9 × 16/13 (→[[176/117]]) on the higher end, and this interval is not mapped to 3/2. However, such temperaments are generally very precise, so [[224edo]], [[270edo]] and [[311edo]] offer slightly more manageable tunings. For less accurate temperaments still, 10648/10647 is notable as a comma of [[Subgroup_temperaments#Parapyth_.28Rank_3.29|parapyth]].


[[Category:13-limit]]
[[Category:13-limit]]
[[Category:Unnoticeable comma]]
[[Category:Unnoticeable comma]]
[[Category:Interval ratio]]
[[Category:Interval ratio]]