45/32: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = smaller pental tritone, smaller diatonic tritone, ptolemaic augmented fourth | |||
| Name = smaller pental tritone, | |||
| Color name = y4, yo 4th | | Color name = y4, yo 4th | ||
| Sound = jid_45_32_pluck_adu_dr220.mp3 | | Sound = jid_45_32_pluck_adu_dr220.mp3 | ||
}} | }} | ||
'''45/32''' is the '''smaller pental [[tritone]]''', a ''diatonic tritone'' of [[5-limit]] [[just intonation]]. It is separated from its inversion of [[64/45]] by the [[diaschisma]], 2048/2025 (''c''. 19.6 cents). | '''45/32''' is the '''smaller pental [[tritone]]''', a ''diatonic tritone'' of [[5-limit]] [[just intonation]]- specifically, it is the '''ptolemaic augmented fourth'''. It is a [[syntonic comma]] away from the Pythagorean augmented fourth [[729/512]], which means it is justly tuned in [[1/6 syntonic comma meantone]]. It is separated from its inversion of [[64/45]] by the [[diaschisma]], 2048/2025 (''c''. 19.6 cents). | ||
== See also == | == See also == | ||
| Line 15: | Line 11: | ||
* [[16/15]] – its [[fifth complement]] | * [[16/15]] – its [[fifth complement]] | ||
[[Category:Tritone]] | [[Category:Tritone]] | ||
[[Category: | [[Category:Meantone]] | ||
{{todo|expand}} | {{todo|expand}} | ||
Latest revision as of 19:23, 28 January 2023
| Interval information |
smaller diatonic tritone,
ptolemaic augmented fourth
reduced harmonic
[sound info]
45/32 is the smaller pental tritone, a diatonic tritone of 5-limit just intonation- specifically, it is the ptolemaic augmented fourth. It is a syntonic comma away from the Pythagorean augmented fourth 729/512, which means it is justly tuned in 1/6 syntonic comma meantone. It is separated from its inversion of 64/45 by the diaschisma, 2048/2025 (c. 19.6 cents).
See also
- 64/45 – its octave complement
- 16/15 – its fifth complement