Fifth-chroma temperaments: Difference between revisions

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==== Novamajor ====

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)5 / (25/24)2]]), is a full 29-limit temperament 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)5 / (25/24)2]]), 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

* subminor third: ~7/6

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* subneutral third: ~39/32~50/41~11/9

* superneutral third: ~27/22~16/13

* submajor third: ~36/29~56/45 (note the absence of ~26/21, which here is ambiguous in mapping between submajor third (77edo) and superneutral third (80edo))

* submajor third: ~36/29~46/37~56/45 (note the absence of ~26/21, which here is ambiguous in mapping between submajor third (77edo) and superneutral third (80edo))

* major third: ~5/4

* novamajor third: ~24/19~43/34~19/15

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 ==== Novamajor ====
 {{ See also | 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 29-limit temperament 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
 * subminor third: ~7/6
@@ Line 80: / Line 80: @@
 * subneutral third: ~39/32~50/41~11/9
 * superneutral third: ~27/22~16/13
-* submajor third: ~36/29~56/45 (note the absence of ~26/21, which here is ambiguous in mapping between submajor third (77edo) and superneutral third (80edo))
+* submajor third: ~36/29~46/37~56/45 (note the absence of ~26/21, which here is ambiguous in mapping between submajor third (77edo) and superneutral third (80edo))
 * major third: ~5/4
 * novamajor third: ~24/19~43/34~19/15