32/25: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Ratio = 32/25
| Ratio = 32/25
| Monzo = 5 0 -2
| Monzo = 5 0 -2
| Cents = 427.37257
| Cents = 427.37257
| Name = classic diminished fourth
| Name = classic diminished fourth
| Color name =  
| Color name = gg4, gugu 4th
| FJS name = d4<sub>25</sub>
| FJS name = d4<sub>25</sub>
| Sound = jid_32_25_pluck_adu_dr220.mp3
| Sound = jid_32_25_pluck_adu_dr220.mp3
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[[Category:5-limit]]
[[Category:5-limit]]
[[Category:Interval]]
[[Category:Fourth]]
[[Category:Ratio]]
[[Category:Diminished fourth]]
[[Category:Octave-reduced subharmonics]]
[[Category:Pages with internal sound examples]]

Revision as of 20:29, 17 December 2021

Interval information
Ratio 32/25
Factorization 25 × 5-2
Monzo [5 0 -2
Size in cents 427.3726¢
Name classic diminished fourth
Color name gg4, gugu 4th
FJS name [math]\displaystyle{ \text{d4}_{25} }[/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 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.

See also