64/45: Difference between revisions

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| Monzo = 6 -2 -1
| Monzo = 6 -2 -1
| Cents = 609.77628
| Cents = 609.77628
| Names = larger pental tritone, <br/> diatonic tritone
| Names = larger pental tritone, <br>larger diatonic tritone
| Color name = g5, gu 5th
| Color name = g5, gu 5th
| FJS name = d5<sub>5</sub>
| 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 (less than 20 cents).
'''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).


[[Category:Interval ratio]]
== See also ==
* [[45/32]] – its [[octave complement]]
* [[135/128]] – its [[fifth complement]]
 
[[Category:5-limit]]
[[Category:Interval]]
[[Category:Ratio]]
[[Category:Tritone]]
[[Category:Tritone]]
[[Category:Overtone]]


[[Category:todo:expand]]
[[Category:todo:expand]]

Revision as of 03:49, 22 October 2020

Interval information
Ratio 64/45
Factorization 26 × 3-2 × 5-1
Monzo [6 -2 -1
Size in cents 609.7763¢
Name(s) missing ? 
Color name g5, gu 5th
FJS name [math]\displaystyle{ \text{d5}_{5} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 11.4919
Weil height (log2 max(n, d)) 12
Wilson height (sopfr(nd)) 23

[sound info]
Open this interval in xen-calc

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).

See also