User:FloraC: Difference between revisions

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== Well temperaments ==

I developed well temperaments on [[12edo|12et]] and [[17edo|17et]] which can be seen here. ~~I also tried one on 19et but gave up for multiple reasons.~~

I developed well temperaments on [[12edo|12et]] and [[17edo|17et]] which can be seen here.

* [[User:FloraC/Flora's_12-note_well_temperament|Flora's 12-note well temperament]]

* [[User:FloraC/Flora's_17-note_well_temperament|Flora's 17-note well temperament]]

Q: ~~Why I gave up~~ developing a 19wt

I've also been trying to develop one on 19et but no satisfactory result as of now.

Q: What are the difficulties in developing a 19wt?

A: First, unlike 12- and 17et with ambiguous major and minor thirds, 19et's thirds are close enough to 5-limit JI that interpreting them otherwise is like a force. In 12- and 17et, those intervals can represent different ratios in different keys, whereas in 19et, they represent the same ratios better or worse in different keys. The effect isn't satisfactory. Second, the harmonics of 3, 5, 7, and 13 in 19et are all flat, so there's not much room to operate. Third, the ambiguity of 4\19 and 15\19 is an important characteritics, and those should be ambiguous ''in every key''.

~~<s>A~~: ~~First, unlike 12- and 17et with ambiguous major and minor thirds, 19et's thirds~~ are ~~close enough to 5-limit JI that interpreting them otherwise is like a force. In 12- and 17et, those intervals can represent different ratios in different keys, while in 19et they represent~~ the same ratios better or worse in different keys, and I'm not fond of that. Second, the harmonics of 3, 5, 7, and 13 in 19-et are all flat, so there's not much room to operate. Third, the ambiguity of 4\19 and 15\19 is nice and I want them ''ambiguous in every key''. </s>

Q: What are the possible solutions?

~~I'll pick it up soon~~.

A: For 19et to have any room to operate, octave stretch must be employed. For 4\19 and 15\19 not deviating too much, hemitwelfth is used as a generator.

== Quick reference ==

@@ Line 19: / Line 19: @@
 == Well temperaments ==
-I developed well temperaments on [[12edo|12et]] and [[17edo|17et]] which can be seen here. I also tried one on 19et but gave up for multiple reasons.
+I developed well temperaments on [[12edo|12et]] and [[17edo|17et]] which can be seen here.
 * [[User:FloraC/Flora's_12-note_well_temperament|Flora's 12-note well temperament]]
 * [[User:FloraC/Flora's_17-note_well_temperament|Flora's 17-note well temperament]]
-Q: Why I gave up developing a 19wt
+I've also been trying to develop one on 19et but no satisfactory result as of now.
+Q: What are the difficulties in developing a 19wt?
+A: First, unlike 12- and 17et with ambiguous major and minor thirds, 19et's thirds are close enough to 5-limit JI that interpreting them otherwise is like a force. In 12- and 17et, those intervals can represent different ratios in different keys, whereas in 19et, they represent the same ratios better or worse in different keys. The effect isn't satisfactory. Second, the harmonics of 3, 5, 7, and 13 in 19et are all flat, so there's not much room to operate. Third, the ambiguity of 4\19 and 15\19 is an important characteritics, and those should be ambiguous ''in every key''.
-<s>A: First, unlike 12- and 17et with ambiguous major and minor thirds, 19et's thirds are close enough to 5-limit JI that interpreting them otherwise is like a force. In 12- and 17et, those intervals can represent different ratios in different keys, while in 19et they represent the same ratios better or worse in different keys, and I'm not fond of that. Second, the harmonics of 3, 5, 7, and 13 in 19-et are all flat, so there's not much room to operate. Third, the ambiguity of 4\19 and 15\19 is nice and I want them ''ambiguous in every key''. </s>
+Q: What are the possible solutions?
-I'll pick it up soon.
+A: For 19et to have any room to operate, octave stretch must be employed. For 4\19 and 15\19 not deviating too much, hemitwelfth is used as a generator.
 == Quick reference ==