27/26: Difference between revisions
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| Name = small tridecimal third tone | | Name = small tridecimal third tone | ||
| Color name = 3u1, thu unison | | Color name = 3u1, thu unison | ||
| FJS name = A1<sub>13</sub> | |||
| Sound = jid_27_26_pluck_adu_dr220.mp3 | | Sound = jid_27_26_pluck_adu_dr220.mp3 | ||
}} | }} | ||
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 | 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 – [[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]]. | ||
== See also == | == See also == | ||
* [[52/27]] | * [[52/27]] – its [[octave complement]] | ||
* [[13/9]] – its [[fifth complement]] | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:13-limit]] | [[Category:13-limit]] | ||
[[Category:Interval ratio]] | [[Category:Interval ratio]] | ||
[[Category:Unison]] | |||
[[Category:Third tone]] | |||
[[Category:Comma]] | |||
[[Category:Medium comma]] | [[Category:Medium comma]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
[[Category:Listen]] | [[Category:Listen]] | ||
Revision as of 07:43, 21 September 2020
| 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 – 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.