3025/3024: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 3025/3024 | | Ratio = 3025/3024 | ||
| Monzo = -4 -3 2 -1 2 | | Monzo = -4 -3 2 -1 2 | ||
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| Sound = | | Sound = | ||
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'''3025/3024''', the '''lehmerisma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 0.57{{cent}}. 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. | |||
'''3025/3024''', the '''lehmerisma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 0.57 | |||
It factors into two superparticular commas: [[4375/4374]] × [[9801/9800]]. | It factors into two superparticular commas: [[4375/4374]] × [[9801/9800]]. | ||
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* [[Rank-4 temperament #Lehmerismic (3025/3024)]] | * [[Rank-4 temperament #Lehmerismic (3025/3024)]] | ||
* [[Lehmerismic temperaments]], a collection of rank-3 temperaments where it is tempered out | * [[Lehmerismic temperaments]], a collection of rank-3 temperaments where it is tempered out | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:11-limit]] | [[Category:11-limit]] | ||
[[Category:Unnoticeable commas]] | [[Category:Unnoticeable commas]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
[[Category:Lehmerismic]] | [[Category:Lehmerismic]] | ||
Revision as of 16:05, 7 April 2022
| Interval information |
reduced
3025/3024, the lehmerisma, is an 11-limit unnoticeable comma measuring about 0.57 ¢. 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
- List of superparticular intervals