3025/3024: Difference between revisions
We can also say it's the diff between 121/120 and 126/125 |
m +links |
||
| Line 12: | Line 12: | ||
'''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. | '''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 == | == See also == | ||
* [[Lehmerismic temperaments]] | * [[Rank-4 temperament #Lehmerismic (3025/3024)]] | ||
* [[Lehmerismic temperaments]], a collection of rank-3 temperaments where it is tempered out | |||
* [[Unnoticeable comma]] | * [[Unnoticeable comma]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||