User:VectorGraphics/Singularity: Difference between revisions
Created page with "Singularity is the regular temperament that tempers out 1/0, the singularitone, setting its value equal to 1, the unison. While this at first appears to do nothing..." |
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{{Novelty}} | |||
Singularity is the regular temperament that tempers out [[1/0]], the singularitone, setting its value equal to [[1/1|1]], the unison. While this at first appears to do nothing to conventional JI, this changes when you realize that because 1/0 contains all possible factors in its numerator (because it can be written as 2/0 or 3/0 or 5/0 or 7/0 etc), that that implies that every single interval, in all limits, is tempered out. | Singularity is the regular temperament that tempers out [[1/0]], the singularitone, setting its value equal to [[1/1|1]], the unison. While this at first appears to do nothing to conventional JI, this changes when you realize that because 1/0 contains all possible factors in its numerator (because it can be written as 2/0 or 3/0 or 5/0 or 7/0 etc), that that implies that every single interval, in all limits, is tempered out. | ||
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This means that singularity is the most inaccurate possible temperament. It is even less accurate than [[0edo]], which could hypothetically represent the notes at 0 and [[1/0]] as distinct notes from 1/1 in a mathematical context. | This means that singularity is the most inaccurate possible temperament. It is even less accurate than [[0edo]], which could hypothetically represent the notes at 0 and [[1/0]] as distinct notes from 1/1 in a mathematical context. | ||
Other than that, it is equivalent to [[Single-pitch tuning|Om temperament.]] | |||
[[Category:Temperaments]] | [[Category:Temperaments]] | ||
[[Category:Exotemperaments]] | [[Category:Exotemperaments]] | ||