User:Dummy index/Chromatic pairs and how we define haplotonic: Difference between revisions

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In fact, it can be seen from condition 3 that the haplotonic scale is up to 9 notes.
In fact, it can be seen from condition 3 that the haplotonic scale is up to 9 notes.


By the way, many of the scale-lists listed on <nowiki>[[Chromatic pairs]]</nowiki> are actually "chain of chromatic pairs". Moreover, the part that is a arithmetic sequence is composed by repeatedly adding the same strong haplotonic scale. And the haplotonic is direct parent MOS of first albitonic.
By the way, many of the scale-lists listed on <nowiki>[[Chromatic pairs]]</nowiki> are actually "chain of albitonic-chromatic pairs". Moreover, the part that is a arithmetic sequence is composed by repeatedly adding the same strong haplotonic scale. And the haplotonic is direct parent MOS of first albitonic of the arithmetic chain.
* Nestoria7, Nestoria12, Nestoria17 — adding Nestoria5 repeatedly
* Nestoria7, Nestoria12, Nestoria17 — adding Nestoria5 repeatedly
* (memo: strong haplotonic is "L will be new s if cutting s from L anymore" so soft-of-basic)
* (memo: strong haplotonic is "L will be new s if cutting s from L anymore" so soft-of-basic)
* What I mean of albitonic-chromatic pairs is strict operation of equation of condition 2. And with MOS tree, albitonic-chromatic relation usually results in direct parent-daughter. Exception is (1L ''x''s)+(1L ''y''s)=(1a (1+''x''+''y'')b) (i dunno another case). You can then use ''n''*(haplotonic)+(albitonic)=(...) to move a few steps at once (<q>possibly multiple copies of one of them</q>).
~~ Exercise ~~
* First two strong haplotonic of Barton are Barton[2] and Barton[11]. Barton[2] is too few notes. Barton[11] is too many notes. Barton[3] and all descendants aren't semitone-free. Strong haplotonic can be obtained for any rank-2, but not always any haplotonic can be.
* Seni[5] and Sensi[8] both are labelled Category:Haplotonic scales. both haplotonic? mini-haplotonic and haplotonic? haplotonic and strong-haplotonic? Well, shouldn't both be haplotonic? Isn't it just that we want to differentiate it because we're trying to include it in the scale-list?


(WIP)
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