Zudilisma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
|Name = Zudilisma | | Ratio = 68630377364883/68630356164608 | ||
|Comma = yes | | Name = Zudilisma | ||
| Comma = yes | |||
}} | }} | ||
'''68630377364883/68630356164608''', the '''Zudilisma''', is a 2.3.7.23.397 subgroup ratio which is the difference between [[127834/1]] and a stack of 29 [[3/2]]. | '''68630377364883/68630356164608''', the '''Zudilisma''', is a 2.3.7.23.397 subgroup ratio which is the difference between [[127834/1]] and a stack of 29 [[3/2]]. | ||
Revision as of 13:15, 6 July 2023
| Interval information |
68630377364883/68630356164608, the Zudilisma, is a 2.3.7.23.397 subgroup ratio which is the difference between 127834/1 and a stack of 29 3/2.
It appears in the sequence of numbers where the fractional part of 1.5^n gets progressively closer to an integer than for any number before it - sequence A1267122 in OEIS. Said sequence was described by Zudilin, hence the name of the ratio.
If this ratio is taken as a comma to be tempered out, it will produce a temperament that very closely approximates Pythagorean tuning and, in diatonic notation, maps 63917/32768 as C - Cxx.