16767/16384: Difference between revisions
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Created page with "{{Infobox Interval | Ratio = 16767/16384 | Name = | Color name = L23o1, latwetho 1sn | Comma = yes }} '''16767/16384''' is a 2.3.23 subgroup comma. It is the amount by which the octave-reduced 23rd harmonic 23/16 exceeds the Pythagorean diminished fifth (1024/729). == Notation == This interval is significant in color notation as the formal comma to translate a Pythagorean interval to a nearby 23-limit (vicesimotertial) interval." |
m Color notation doesn't use augmented and diminished |
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 16767/16384 | | Ratio = 16767/16384 | ||
| Name = | | Name = 23 small diesis | ||
| Color name = L23o1, latwetho 1sn | | Color name = L23o1, latwetho 1sn | ||
| Comma = yes | | Comma = yes | ||
| Line 8: | Line 8: | ||
== Notation == | == Notation == | ||
This interval is | This interval is used in the [[Sagittal notation]] in the [https://en.xen.wiki/w/Sagittal_notation#Promethean Promethean extension], whose name is the 23 small diesis or 23S ( {{sagittal|~|\}} / {{sagittal|~!/}}). | ||
== Approximation == | |||
This interval is extremely close to one step of [[30edo]], though 30edo actually maps it to four steps by patent val. It is represented consistently as 1\30 in [[270edo]] and [[330edo]]. | |||
Latest revision as of 19:16, 26 December 2025
| Interval information |
reduced harmonic
16767/16384 is a 2.3.23 subgroup comma. It is the amount by which the octave-reduced 23rd harmonic 23/16 exceeds the Pythagorean diminished fifth (1024/729).
Notation
This interval is used in the Sagittal notation in the Promethean extension, whose name is the 23 small diesis or 23S ( / ).
Approximation
This interval is extremely close to one step of 30edo, though 30edo actually maps it to four steps by patent val. It is represented consistently as 1\30 in 270edo and 330edo.