169/168: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = Thothoru | | Name = Thothoru | ||
| Color name = 3oor1, Thothoru comma | | Color name = 3oor1, thothoru 1sn,<br>Thothoru comma | ||
}} | }} | ||
169/168, is a superparticular ratio measuring about 10.3 cents. It is the difference between 13/12 and 14/13 semitones, and also between 224/169 and 4/3 perfect fourths. | 169/168, is a superparticular ratio measuring about 10.3 cents. It is the difference between 13/12 and 14/13 semitones, and also between 224/169 and 4/3 perfect fourths. | ||
Revision as of 02:45, 10 January 2023
| Interval information |
Thothoru comma
reduced
169/168, is a superparticular ratio measuring about 10.3 cents. It is the difference between 13/12 and 14/13 semitones, and also between 224/169 and 4/3 perfect fourths.
Theory
169/168 is tempered out in a 13-0-2-8 chord of 19edo, which is a symmetrical relative to itself - it is the same when inverted. Such a chord consists of a stack of 16/13 - 13/12 - 16/13, which also intertwine two 4/3s between the 1st and 3rd, and 2nd and 4th notes. Tempering out 169/168 means that 14/13 can appear in this chord as well as 13/12.