64/45: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = larger pental tritone, larger diatonic tritone
| Name = larger pental tritone, larger diatonic tritone, ptolemaic diminished fifth
| Color name = g5, gu 5th
| Color name = g5, gu 5th
| Sound = jid_64_45_pluck_adu_dr220.mp3
| Sound = jid_64_45_pluck_adu_dr220.mp3
}}
}}


'''64/45''' is the '''larger pental [[tritone]]''', a ''2nd diatonic tritone'' of [[5-limit]] [[just intonation]]. It is separated from its inversion of [[45/32]] by the [[diaschisma]], 2048/2025 (''c''. 19.6 cents).
'''64/45''' is the '''larger pental [[tritone]]''', a ''diatonic tritone'' of [[5-limit]] [[just intonation]]- specifically, it is the '''ptolemaic diminished fifth'''. It is separated from its inversion of [[45/32]] by the [[diaschisma]], 2048/2025 (''c''. 19.6 cents).


== See also ==  
== See also ==  

Revision as of 19:24, 28 January 2023

Interval information
Ratio 64/45
Factorization 26 × 3-2 × 5-1
Monzo [6 -2 -1⟩
Size in cents 609.7763¢
Names larger pental tritone,
larger diatonic tritone,
ptolemaic diminished fifth
Color name g5, gu 5th
FJS name [math]\displaystyle{ \text{d5}_{5} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 11.4919
Weil norm (log2 max(n, d)) 12
Wilson norm (sopfr(nd)) 23

[sound info]
Open this interval in xen-calc

64/45 is the larger pental tritone, a diatonic tritone of 5-limit just intonation- specifically, it is the ptolemaic diminished fifth. It is separated from its inversion of 45/32 by the diaschisma, 2048/2025 (c. 19.6 cents).

See also

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