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|]
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|]
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|]
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|]
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|]
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