Adaptive diatonic interval names: Difference between revisions

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What interval qualities will label is distances from these "central intervals". For each interval degree, follow the given procedure:

* Find the smallest interval greater than or equal to ~~24c~~ above the neutral interval. Take the interval BEFORE this and label it "submajor" (if its offset is still positive, otherwise, interpret it as submajor but do not actually assign it that name).

* Find the smallest interval greater than or equal to 25c above the neutral interval. Take the interval BEFORE this and label it "submajor" (if its offset is still positive, otherwise, interpret it as submajor but do not actually assign it that name).

* Find a) the closest interval to 85c above the neutral interval or b) the smallest interval greater than 75c above the neutral interval, whichever is higher. Label this interval "supermajor".

** If supermajor and submajor coincide, label the interval "major" and then label the next interval up "supermajor".

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|Functional.

|}

~~{{Todo|Add info|inline=1|text=Find out what~~ edo ~~ADIN stops working~~ at.}}

The first edo that the current set of names is insufficient to cover is 152edo. If an extra name is added for an interval between sensamajor and ultramajor, then the first failure is at 156, and then at 159.

== Oneirotonic extension ==

[[File:Oneieh.png|thumb|18edo with oneirotonic vs. diatonic schemes compared. Note the lack of unison, octave, or perfect fourth/fifth in diatonic, and the tritone intervals in oneirotonic.]]

One possible extension to handle edos with an oneirotonic fifth (3, 6, 8, 13, and 18) is to use the neutralized oneirotonic scale as the basis instead of the neutralized diatonic scale. In this case, things function exactly the same as before, but based on oneirotonic instead of diatonic. The additional degree may be called a median or tritone - special tritone labels are not used as the semioctave is always the neutral tritone.

@@ Line 10: / Line 10: @@
 What interval qualities will label is distances from these "central intervals". For each interval degree, follow the given procedure:
-* Find the smallest interval greater than or equal to 24c above the neutral interval. Take the interval BEFORE this and label it "submajor" (if its offset is still positive, otherwise, interpret it as submajor but do not actually assign it that name).
+* Find the smallest interval greater than or equal to 25c above the neutral interval. Take the interval BEFORE this and label it "submajor" (if its offset is still positive, otherwise, interpret it as submajor but do not actually assign it that name).
 * Find a) the closest interval to 85c above the neutral interval or b) the smallest interval greater than 75c above the neutral interval, whichever is higher. Label this interval "supermajor".
 ** If supermajor and submajor coincide, label the interval "major" and then label the next interval up "supermajor".
@@ Line 149: / Line 149: @@
 |Functional.
 |}
-{{Todo|Add info|inline=1|text=Find out what edo ADIN stops working at.}}
+The first edo that the current set of names is insufficient to cover is 152edo. If an extra name is added for an interval between sensamajor and ultramajor, then the first failure is at 156, and then at 159.
 == Oneirotonic extension ==
 [[File:Oneieh.png|thumb|18edo with oneirotonic vs. diatonic schemes compared. Note the lack of unison, octave, or perfect fourth/fifth in diatonic, and the tritone intervals in oneirotonic.]]
 One possible extension to handle edos with an oneirotonic fifth (3, 6, 8, 13, and 18) is to use the neutralized oneirotonic scale as the basis instead of the neutralized diatonic scale. In this case, things function exactly the same as before, but based on oneirotonic instead of diatonic. The additional degree may be called a median or tritone - special tritone labels are not used as the semioctave is always the neutral tritone.