Clevelandisma: Difference between revisions
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'''2000033/2000000''', otherwise known as the '''clevelandisma''', is an [[unnoticeable comma]] of the [[ | '''2000033/2000000''', otherwise known as the '''clevelandisma''', is an [[unnoticeable comma]] of the [[17-limit]] (and 2.5.7.17 subgroup) with a value of approximately 0.029 [[cent]]s. It forms the difference by which a stack of three [[50/49]]'s (jubilismas) falls short of [[17/16]], or a stack of six [[10/7]]s falls short of [[17/2]]. It is tempered out in many notable approximations of the [[2.5.7 subgroup]], including {{EDOs| 31 and 68}} as well as the 2.5.7 microtemperament [[789edo]], therefore leading to most strong 2.5.7 systems into the tens of thousands also having a good 17th harmonic. | ||
== Etymology == | == Etymology == | ||
Revision as of 06:29, 21 October 2024
| Interval information |
2000033/2000000, otherwise known as the clevelandisma, is an unnoticeable comma of the 17-limit (and 2.5.7.17 subgroup) with a value of approximately 0.029 cents. It forms the difference by which a stack of three 50/49's (jubilismas) falls short of 17/16, or a stack of six 10/7s falls short of 17/2. It is tempered out in many notable approximations of the 2.5.7 subgroup, including 31 and 68 as well as the 2.5.7 microtemperament 789edo, therefore leading to most strong 2.5.7 systems into the tens of thousands also having a good 17th harmonic.
Etymology
This comma was named by Lériendil in 2024, inspired by the cantonisma (a similar 2.5.7.p ultraparticular comma) sharing the name of a city in Ohio; in addition to this reference, this comma can be thought of as "cleaving" multiple intervals of the 17th harmonic, particularly in that 10 + 7 = 17 and 10/7 is the interval that splits 17/2.