32/25: Difference between revisions

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'''32/25'''
{{Infobox Interval
|5 0 -2>
| Name = classic(al) diminished fourth, diptolemaic diminished fourth
| Color name = gg4, gugu 4th
| Sound = jid_32_25_pluck_adu_dr220.mp3
}}


427.3726 cents
'''32/25''', the '''classic(al) diminished fourth''' or '''diptolemaic diminished fourth''', is the interval between [[5/4]] and [[8/5]]. It is [[225/224]] flat of [[9/7]], and tempering out 225/224 makes 1-5/4-8/5 into the [[marvel chords|marvel triad]]. It is also [[176/175]] sharp of [[14/11]], and tempering out 176/175 makes 1-5/4-8/5 into the [[valinorsmic chords|valinorsmic augmented triad]]. In terms of interval regions, it can be treated as a supermajor third.


[[File:jid_32_25_pluck_adu_dr220.mp3]] [[:File:jid_32_25_pluck_adu_dr220.mp3|sound sample]]
== See also ==
* [[25/16]] – its [[octave complement]]
* [[75/64]] – its [[fifth complement]]


'''32/25''', the classic diminished fourth (approx. 427.4 [[cent|cents]] in size), is the interval between [[5/4|5/4]] and [[8/5|8/5]]. It is 225/224 flat of [[9/7|9/7]], and tempering out 225/224 makes 1-5/4-8/5 into the [[marvel_chords|marvel triad]]. It is also 176/175 sharp of [[14/11|14/11]], and tempering out 176/175 makes 1-5/4-8/5 into the [[valinorsmic_chords|valinorsmic augmented triad]].
[[Category:Fourth]]
[[Category:Diminished fourth]]

Latest revision as of 23:38, 7 April 2025

Interval information
Ratio 32/25
Factorization 25 × 5-2
Monzo [5 0 -2⟩
Size in cents 427.3726¢
Names classic(al) diminished fourth,
diptolemaic diminished fourth
Color name gg4, gugu 4th
FJS name [math]\displaystyle{ \text{d4}_{5,5} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 9.64386
Weil height (log2 max(n, d)) 10
Wilson height (sopfr(nd)) 20

[sound info]
Open this interval in xen-calc

32/25, the classic(al) diminished fourth or diptolemaic diminished fourth, is the interval between 5/4 and 8/5. It is 225/224 flat of 9/7, and tempering out 225/224 makes 1-5/4-8/5 into the marvel triad. It is also 176/175 sharp of 14/11, and tempering out 176/175 makes 1-5/4-8/5 into the valinorsmic augmented triad. In terms of interval regions, it can be treated as a supermajor third.

See also

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