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]]. | ||
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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]] | |||
Latest revision as of 02:44, 4 November 2024
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This page presents a novelty topic.
It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex. Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
| 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.