45/32: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = smaller pental tritone, smaller diatonic tritone
| Name = smaller pental tritone, smaller diatonic tritone, ptolemaic augmented fourth
| 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 a [[syntonic comma]] away from the pythagorean tritone [[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).  
'''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 ==  

Latest revision as of 19:23, 28 January 2023

Interval information
Ratio 45/32
Factorization 2-5 × 32 × 5
Monzo [-5 2 1
Size in cents 590.2237¢
Names smaller pental tritone,
smaller diatonic tritone,
ptolemaic augmented fourth
Color name y4, yo 4th
FJS name [math]\displaystyle{ \text{A4}^{5} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 10.4919
Weil norm (log2 max(n, d)) 10.9837
Wilson norm (sopfr(nd)) 21

[sound info]
Open this interval in xen-calc

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