36/25: Difference between revisions

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'''36/25''', the '''classic(al) diminished fifth''' or '''diptolemaic diminished fifth''', is the [[5-limit]] tritone produced by stacking two [[6/5]] minor thirds. This means it is justly tuned in [[1/3 syntonic comma meantone]], and almost perfectly in [[19edo]]. It is [[325/324]] (5.3 cents) flat of [[13/9]], and the interval between [[10/9]] and [[8/5]] or [[5/4]] and [[9/5]] respectively.  
'''36/25''', the '''classic(al) diminished fifth''' or '''diptolemaic diminished fifth''', is the [[5-limit]] tritone produced by stacking two [[6/5]] minor thirds. This means it is justly tuned in [[1/3 comma meantone]], and almost perfectly in [[19edo]]. It is [[325/324]] (5.3 cents) flat of [[13/9]], and the interval between [[10/9]] and [[8/5]] or [[5/4]] and [[9/5]] respectively.  


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

Revision as of 16:56, 19 November 2023

Interval information
Ratio 36/25
Factorization 22 × 32 × 5-2
Monzo [2 2 -2
Size in cents 631.2826¢
Names classic(al) diminshed fifth,
diptolemaic diminished fifth
Color name gg5, gugu 5th
FJS name [math]\displaystyle{ \text{d5}_{5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 9.81378
Weil norm (log2 max(n, d)) 10.3399
Wilson norm (sopfr(nd)) 20

[sound info]
Open this interval in xen-calc

36/25, the classic(al) diminished fifth or diptolemaic diminished fifth, is the 5-limit tritone produced by stacking two 6/5 minor thirds. This means it is justly tuned in 1/3 comma meantone, and almost perfectly in 19edo. It is 325/324 (5.3 cents) flat of 13/9, and the interval between 10/9 and 8/5 or 5/4 and 9/5 respectively.

See also