Zudilisma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
|Name = Zudilisma | |||
|Comma = yes | |Comma = yes | ||
}} | }} | ||
68630377364883/68630356164608 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]]. | ||
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 - [[oeis:A267122|sequence A1267122]] in OEIS. | 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 - [[oeis:A267122|sequence A1267122]] in OEIS. | ||
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. | 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. | ||
Revision as of 11:19, 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.
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.