Honeybrookisma
| Ratio | 19344/19343 |
| Factorization | 24 × 3 × 13 × 23-1 × 29-2 × 31 |
| Monzo | [4 1 0 0 0 1 0 0 -1 -2 1⟩ |
| Size in cents | 0.089499524¢ |
| Name | honeybrookisma |
| Color name | 31o29uu23u3o-2 thiwobitwenu-atwethutho negative 2nd |
| FJS name | [math]\text{P1}^{13,31}_{23,29,29}[/math] |
| Special properties | superparticular, reduced |
| Tenney height (log2 nd) | 28.4791 |
| Weil height (log2 max(n, d)) | 28.4792 |
| Wilson height (sopfr(nd)) | 136 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.19989 bits |
| Comma size | unnoticeable |
| open this interval in xen-calc | |
19344/19343, the honeybrookisma, is a 31-limit superparticular comma of about 0.089 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
It can be factored into following superparticular commas:
Temperaments
Tempering out this comma leads to the rank-10 temperament honeybrookismic. Using the 2.3.13.23.29.31 subgroup leads to the rank-5 temperament honeybrookic.
Honeybrookismic
Subgroup: 2.3.5.7.11.13.17.19.23.29.31
Comma list: 19344/19343
| [⟨ | 1 | 1 | 2 | 2 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | ], |
| ⟨ | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ], |
| ⟨ | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | -1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 2 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.954, ~5/4 = 386.314, ~7/4 = 968.826, ~11/8 = 551.318, ~13/8 = 840.520, ~17/16 = 104.955, ~19/16 = 297.513, ~23/16 = 628.286, ~29/16 = 1029.604
Optimal ET sequence: 5cfik, 5eghjkk, 6fhijkk, 7deefghijjkkk, 7dghik, 7, 8di, 9jk, 10, 10h, 12de, 12e, 14cfjjkk, 14c, 15, 17cgk, 17cghk, 18ehijk, 19eghikk, 19egh, 19, 22i, 22fh, 26ik, 31fghjk, 31, 38dfijkk, 39dfgijk, 41i, 49fghjkk, 50, 53k, 56, 58hik, 62, 77g, 77, 80k, 94, 103h, 121ik, 140k, 145jk, 152fgjk, 159k, 183, 190g, 217, 243ek, 270, 311, 388, 436, 472, 487, 532dfghik, 540, 552g, 554ek, 571, 653, 692ik, 718, 863efgjk, 882, 908, 997, 1041, 1106, 1164fi, …
Honeybrookic
Subgroup: 2.3.13.23.29.31
Comma list: 19344/19343
| [⟨ | 1 | 1 | 3 | 4 | 4 | 4 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 0 | -1 | ], |
| ⟨ | 0 | 0 | 1 | 0 | 0 | -1 | ], |
| ⟨ | 0 | 0 | 0 | 1 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 1 | 2 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.954, ~13/8 = 840.520, ~23/16 = 628.286, ~29/16 = 1029.604
Optimal ET sequence: 5fik, 5f, 7ik, 7, 10, 12, 17k, 19, 29, 34, 39fijk, 41i, 43i, 51, 70, 94, 96k, 113, 135, 147, 241, 260, 311, 571, 718, 978, 1289, 1872, 2183, 2754, 3472, 5655, 7768, 8339, 10522
Etymology
The honeybrookisma was named by Francium in 2024. It refers to the postal code of Honey Brook, Pennsylvania.