Temperament orphanage

Welcome to the Temperament Orphanage

These temperaments need to be adopted into a family

These are some temperaments that were found floating around. It is not clear what family they belong to, so for now they are in the temperament orphanage. Should you know how to match these temperaments back up with their temperament family, feel free to remove them from the orphanage and put them on the right page. If a temperament listed does not have a name, give it a name.

Please give a short description of whatever temperament you leave here so that someone can help to match this temperament back to its rightful progenitors.

Smite

The 5-limit 7&25 temperament. It equates (6/5)⁵ with 8/3. It is also called sixix, a name by Petr Parizek which has priority. The generator is a really sharp minor third, the contraction of which is "smite".

Comma: 3125/2916

POTE generator: ~6/5 = 338.365

Map: [<1 3 4|, <0 -5 -6|]

EDOs: 7, 25, 32

Badness: 0.1531

The temperament finder - 5-limit Sixix

Smate

The 5-limit 3&8b temperament. It equates (5/4)⁴ with 8/3. It is so named because the generator is a sharp major third. I^[who?] don't think "smate" is actually a word, but it is now.

Comma: 2048/1875

POTE generator: ~5/4 = 420.855

Map: [<1 2 3|, <0 -4 1|]

Status: Adopted

Enipucrop

The 5-limit 6b&7 temperament. Its name is "porcupine" spelled backwards, because that's what this temperament is - it's porcupine, with the generator sharp of 2\7 such that the major and minor thirds switch places. The fifths are very flat, meaning that this is more of a melodic temperament than a harmonic one.

Comma: 1125/1024

POTE generator: ~16/15 = 173.101

Map: [<1 2 2|, <0 -3 2|]

EDOs: 6b, 7

Badness: 0.1439

The temperament finder - 5-limit Enipucrop

Absurdity

The 5-limit 7&84 temperament. So named because this is just an absurd temperament. The generator is 81/80 and the period is 800/729, which is (10/9) / (81/80). This is also part of the syntonic-chromatic equivalence continuum, in this case where (81/80)⁵ = 25/24.

Commas: 10460353203/10240000000

POTE generator: ~10/9 = 185.901 cents

Map: [<7 0 -17|, <0 1 3|]

EDOs: 7, 70, 77, 84, 329

Badness: 0.3412

The temperament finder - 5-limit Absurdity

Sevond

This is a fairly obvious temperament; it just equates 7 10/9's with a 2/1, hence the period is 10/9. One generator from 5\7 puts you at 3/2, two generators from 2\7 puts you at 5/4.

Comma: 5000000/4782969

POTE generator: ~3/2 = 706.288 cents

Map: [<7 0 -6|, <0 1 2|]

EDOs: 7, 42, 49, 56, 119

Badness: 0.3393

7-limit

Adding 875/864 to the commas extends this to the 7-limit:

Commas: 875/864, 327680/321489

POTE generator: ~3/2 = 705.613 cents

Map: [<7 0 -6 53|, <0 1 2 -3|]

EDOs: 7, 56, 63, 119

The temperament finder - 5-limit Sevond

Seville

This is similar to the above, but provides a less complex avenue to 5, but this time at the sake of accuracy. One generator from 5\7 puts you at 3/2, and one generator from 2\7 puts you at 5/4.

Comma: 78125/69984

POTE generator: ~3/2 = 706.410 cents

Map: [<7 0 5|, <0 1 1|]

EDOs: 7, 35b, 42c, 49c, 56cc, 119cccc

Badness: 0.4377

The temperament finder - 5-limit Seville