Zudilisma: Difference between revisions
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{{Novelty}} | |||
{{Infobox Interval | {{Infobox Interval | ||
|Name = Zudilisma | | Ratio = 68630377364883/68630356164608 | ||
|Comma = yes | | Name = Zudilisma | ||
| Color name = L<sup>4</sup>397u23ur-5 | |||
| 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]]. | ||
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. 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. | 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. | ||
[[Category:Zudilismic]] | |||
[[Category:Commas named after mathematicians]] | |||