3025/3024: Difference between revisions
Jump to navigation
Jump to search
correction |
It wasn't incorrect Tag: Undo |
||
| Line 10: | Line 10: | ||
}} | }} | ||
'''3025/3024''', the '''lehmerisma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 0.57 cents. It is the difference between [[55/54]] and [[56/55]], between [[121/120]] and [[126/125]], between [[225/224]] and [[243/242]], as well as the amount by which two [[12/11]] neutral seconds falls short of [[25/21]], the quasi-tempered minor third. | '''3025/3024''', the '''lehmerisma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 0.57 cents. It is the difference between [[55/54]] and [[56/55]], between [[121/120]] and [[126/125]], between [[225/224]] and [[243/242]], and between [[385/384]] and [[441/440]], as well as the amount by which two [[12/11]] neutral seconds falls short of [[25/21]], the quasi-tempered minor third. | ||
It factors into two superparticular commas: [[4375/4374]] × [[9801/9800]]. | It factors into two superparticular commas: [[4375/4374]] × [[9801/9800]]. | ||
Revision as of 00:41, 30 November 2021
| Interval information |
reduced
3025/3024, the lehmerisma, is an 11-limit unnoticeable comma measuring about 0.57 cents. It is the difference between 55/54 and 56/55, between 121/120 and 126/125, between 225/224 and 243/242, and between 385/384 and 441/440, as well as the amount by which two 12/11 neutral seconds falls short of 25/21, the quasi-tempered minor third.
It factors into two superparticular commas: 4375/4374 × 9801/9800.
Temperaments
Tempering it out leads to the lehmerismic temperament, which splits 28/27 into two equal parts, each representing 55/54~56/55. See Rank-4 temperament #Lehmerismic (3025/3024) for some technical details.
See also
- Rank-4 temperament #Lehmerismic (3025/3024)
- Lehmerismic temperaments, a collection of rank-3 temperaments where it is tempered out
- Unnoticeable comma
- List of superparticular intervals