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.

Squarschmidt (118 & 593)

Comma list: [61 4 -29⟩

POTE generator: ~98304/78125 = 396.6208

Mapping: [⟨1 -8 1], ⟨0 29 4]]

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Lafa (65 & 441)

Comma list: [77 -31 -12⟩

POTE generator: ~[-32 13 5⟩ = 258.5029

Mapping: [⟨1 -1 9], ⟨0 12 -31]]

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Vavoom (118 & 665)

Comma list: [-68 18 17⟩

POTE generator: ~16/15 = 111.8765

Mapping: [⟨1 0 4], ⟨0 17 -18]]

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Antitonic (2 & 4p)

This temperament is characterized by tempering out 9/8, and has been termed a "troll temperament". It is named on account of 4/3 and 3/2 both being represented by the 600 cent half octave, which serves as an Antitonic. Surprisingly, it has extensions all the way up to the 11-limit, as confirmed by the data from x31eq. The original 5-limit is basically the 3-limit music of 2edo with the addition of harmonic 5 represented by an independent generator.

Comma list: 9/8

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7-limit

Comma list: 9/8, 21/20

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11-limit

Comma list: 9/8, 21/20, 12/11

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