16767/16384: Difference between revisions

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
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== Notation ==
== Notation ==
This interval is significant in [[color notation]] as the formal comma to translate a Pythagorean interval to a nearby 23-limit (vicesimotertial) interval.
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]].