27/26: Difference between revisions
Jump to navigation
Jump to search
m no need to keep it in the less specific categoty |
m Improve categories |
||
| Line 1: | Line 1: | ||
{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 27/26 | | Ratio = 27/26 | ||
| Monzo = -1 3 0 0 0 -1 | | Monzo = -1 3 0 0 0 -1 | ||
| Line 10: | Line 9: | ||
}} | }} | ||
In [[13-limit]] [[just intonation]], '''27/26''', the '''small tridecimal third tone''', appears as the interval between the Pythagorean major sixth of [[27/16]] and the thirteenth harmonic of [[13/8]]. It measures about 65.3¢. It is close in size to another 13-limit microtone – [[26/25]]. These intervals differ by the [[superparticular]] ratio 676/675, about 2.6¢, the island comma; tempering it out produces temperaments associated with [[The Archipelago]]. | In [[13-limit]] [[just intonation]], '''27/26''', the '''small tridecimal third tone''', appears as the interval between the Pythagorean major sixth of [[27/16]] and the thirteenth harmonic of [[13/8]]. It measures about 65.3¢. It is close in size to another 13-limit microtone – [[26/25]]. These intervals differ by the [[superparticular]] ratio [[676/675]], about 2.6¢, the island comma; tempering it out produces temperaments associated with [[The Archipelago]]. | ||
27/26 is significant in [[Helmholtz-Ellis notation]] as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to [[64/63]] and [[33/32]] for septimal and undecimal, respectively. However, in [[Functional Just System]], that role is taken by [[1053/1024]]. | 27/26 is significant in [[Helmholtz-Ellis notation]] as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to [[64/63]] and [[33/32]] for septimal and undecimal, respectively. However, in [[Functional Just System]], that role is taken by [[1053/1024]]. | ||
| Line 21: | Line 20: | ||
[[Category:13-limit]] | [[Category:13-limit]] | ||
[[Category: | [[Category:Chroma]] | ||
[[Category:Third tone]] | [[Category:Third tone]] | ||
[[Category:Medium comma]] | [[Category:Medium comma]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
[[Category: | [[Category:Pages with internal sound examples]] | ||
Revision as of 11:29, 15 December 2021
| Interval information |
reduced
[sound info]
In 13-limit just intonation, 27/26, the small tridecimal third tone, appears as the interval between the Pythagorean major sixth of 27/16 and the thirteenth harmonic of 13/8. It measures about 65.3¢. It is close in size to another 13-limit microtone – 26/25. These intervals differ by the superparticular ratio 676/675, about 2.6¢, the island comma; tempering it out produces temperaments associated with The Archipelago.
27/26 is significant in Helmholtz-Ellis notation as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to 64/63 and 33/32 for septimal and undecimal, respectively. However, in Functional Just System, that role is taken by 1053/1024.