512/495: Difference between revisions

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'''512/495''', '''the undecimal subminor second''', is an interval that can potentially be regarded as a type of relatively complex [[11-limit]] quartertone on one hand, as it arises not only as the difference between [[64/45]] and [[11/8]], and the difference between [[16/11]] and [[45/32]], but also as the difference between [[33/32]] and [[16/15]] and as the difference between [[64/33]] and [[15/8]] – on the other hand, however, it only differs from [[28/27]] by [[385/384]]. Unlike [[33/32]], which has functions more akin to a chroma, 512/495 has functions more akin to a diatonic interval.
'''512/495''', '''the undecimal subminor second''', is an interval that can potentially be regarded as a type of relatively complex [[quartertone]] in the [[11-limit]] on one hand, as it arises not only as the difference between [[64/45]] and [[11/8]], and the difference between [[16/11]] and [[45/32]], but also as the difference between [[33/32]] and [[16/15]] and as the difference between [[64/33]] and [[15/8]].
 
On the other hand, however, it only differs from [[28/27]] by [[385/384]]. Unlike [[33/32]], which has functions more akin to a [[chroma]], 512/495 has functions more akin to a [[diatonic]] interval.


== See also ==
== See also ==

Latest revision as of 05:20, 24 December 2024

Interval information
Ratio 512/495
Factorization 29 × 3-2 × 5-1 × 11-1
Monzo [9 -2 -1 0 -1
Size in cents 58.45834¢
Name undecimal subminor second
Color name s1ug2, salugu 2nd
FJS name [math]\displaystyle{ \text{m2}_{5,11} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 17.9513
Weil norm (log2 max(n, d)) 18
Wilson norm (sopfr(nd)) 40
Open this interval in xen-calc

512/495, the undecimal subminor second, is an interval that can potentially be regarded as a type of relatively complex quartertone in the 11-limit on one hand, as it arises not only as the difference between 64/45 and 11/8, and the difference between 16/11 and 45/32, but also as the difference between 33/32 and 16/15 and as the difference between 64/33 and 15/8.

On the other hand, however, it only differs from 28/27 by 385/384. Unlike 33/32, which has functions more akin to a chroma, 512/495 has functions more akin to a diatonic interval.

See also