Clevelandisma
| Ratio | 2000033/2000000 |
| Factorization | 2-7 × 5-6 × 76 × 17 |
| Monzo | [-7 0 -6 6 0 0 1⟩ |
| Size in cents | 0.028565126¢ |
| Name | Clevelandisma |
| FJS name | [math]\text{6d5}^{7,7,7,7,7,7,17}_{5,5,5,5,5,5}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 41.8632 |
| Weil height (log2 max(n, d)) | 41.8632 |
| Wilson height (sopfr(nd)) | 103 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.19983 bits |
| Comma size | unnoticeable |
| S-expression | S49 / S50 |
| open this interval in xen-calc | |
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.