31edo: Difference between revisions
→Basic theory: Restored prime harmonics table to default number of columns (not sure why there were less than usual. If there was a reason why, then feel free to change it back) |
|||
| Line 13: | Line 13: | ||
== Basic theory == | == Basic theory == | ||
{{Harmonics in equal|31 | {{Harmonics in equal|31}} | ||
31edo's perfect fifth is flat of the just interval 3/2 (over five cents), as befits a tuning [[support|supporting]] [[meantone]], but the major third is less than a cent sharp (of just 5/4), making it slightly sharp of [[quarter-comma meantone]]. 31's approximation of 7/4, a cent flat, is also very close to just. It is a very tone-efficient melodic approximation of the [[11-limit]] (and specifically the [[11-odd-limit]]), although the fact that it equates 14/11 with 9/7 and 11/8 with 15/11 could potentially be considered too much tuning damage. Many [[7-limit]] JI scales are well-approximated in 31 (with tempering, of course). | 31edo's perfect fifth is flat of the just interval 3/2 (over five cents), as befits a tuning [[support|supporting]] [[meantone]], but the major third is less than a cent sharp (of just 5/4), making it slightly sharp of [[quarter-comma meantone]]. 31's approximation of 7/4, a cent flat, is also very close to just. It is a very tone-efficient melodic approximation of the [[11-limit]] (and specifically the [[11-odd-limit]]), although the fact that it equates 14/11 with 9/7 and 11/8 with 15/11 could potentially be considered too much tuning damage. Many [[7-limit]] JI scales are well-approximated in 31 (with tempering, of course). | ||