Fifth-chroma temperaments: Difference between revisions
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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. | 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. | ||
==== Novamajor ==== | ==== Novamajor ==== | ||
{{ See also | | {{ See also | User:Godtone/Augmented-chromatic equivalence continuum }} | ||
This temperament, originally found independently in the form of a peculiar high-badness 5-limit temperament called "Isnes" ("Sensi" backwards, and can be understood as tempering [[19791209299968/19073486328125|(128/125)<sup>5</sup> / (25/24)<sup>2</sup>]]), is a full no-31's 37-limit temperament (and possibly/likely higher) that is better understood not in terms of generators (where it is very complex and doesn't make much musical sense) but instead as making the following intervals equidistant (which can be seen as a guarantee of a certain kind of metaphorical colour palette with certain properties): | This temperament, originally found independently in the form of a peculiar high-badness 5-limit temperament called "Isnes" ("Sensi" backwards, and can be understood as tempering [[19791209299968/19073486328125|(128/125)<sup>5</sup> / (25/24)<sup>2</sup>]]), is a full no-31's 37-limit temperament (and possibly/likely higher) that is better understood not in terms of generators (where it is very complex and doesn't make much musical sense) but instead as making the following intervals equidistant (which can be seen as a guarantee of a certain kind of metaphorical colour palette with certain properties): | ||
* inframinor third: ~15/13 | * inframinor third: ~15/13 | ||