Fifth-chroma temperaments: Difference between revisions
m →Fifthchroma: add more edo joins for fifthchroma |
m →Fifth-chroma temperaments: tweak rank 2 temperaments overview |
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==== Primary ==== | ==== Primary ==== | ||
* 77 & 80: [[Novamajor]], a temperament with a generator of 5/4 * S12, named because the interval colour of ~405{{cent}} is named a "novamajor third" by [[User:Godtone]]] | * 77 & 80: [[Novamajor]], a temperament with a generator of 5/4 * S12, named because the interval colour of ~405{{cent}} is named a "novamajor third" by [[User:Godtone]]] | ||
* 77 & 84: [[Absurdity]], the 1\7-period (at least) 29-limit temperament | * 77 & 84: [[Absurdity]], the 1\7-period (at least) 29-limit temperament; note that 70edo also supports it in a reduced/slightly modified form | ||
* 80 & 84: unnamed? proposed name: "quarterchromatic" from quartering the octave and having a comma-sized generator, four of which functions melodically as a type of chroma (though not as 25/24) | * 80 & 84: unnamed? proposed name: "quarterchromatic" from quartering the octave and having a comma-sized generator, four of which functions melodically as a type of chroma (though not as 25/24) | ||
==== Secondary ==== | ==== Secondary ==== | ||
* 77 & 87: [[Restles]] | * 77 & 87: [[Restles]] | ||
* 77 & 94: [[Tsaharuk]] | * 77 & 94: [[Tsaharuk]] | ||
* 80 & 87: a version of [[Hemifamity temperaments#Artoneutral|artoneutral]] that | * 80 & 87: "alt artoneutral": a version of [[Hemifamity temperaments#Artoneutral|artoneutral]] that uses a different mapping for prime 7 | ||
* 80 & 94: unnamed? proposed name: "pseudohemipyth" | * 80 & 94: unnamed? proposed name: "pseudohemipyth" | ||
* 87 & 94: [[Artoneutral]] | * 87 & 94: [[Artoneutral]] | ||
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==== Absurdity ==== | ==== Absurdity ==== | ||
{{ See also | Absurdity }} | {{ See also | Absurdity }} | ||
Absurdity was extended to the 29-limit; the mapping for prime 29 is obvious via 1\7 = 32/29 being accurate. The mapping for prime 23 is via 23/20 being equated with 8/7, which isn't ideal | Absurdity was extended to the 29-limit; the mapping for prime 29 is obvious via 1\7 = 32/29 being accurate. The mapping for prime 23 is via 23/20 being equated with 8/7, which isn't ideal, but both edo tunings (77edo and 84edo) have resources to make various elements of 29-limit harmony possible. | ||