Zudilisma: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
mNo edit summary |
||
| Line 5: | Line 5: | ||
'''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. | ||
Revision as of 11:43, 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.