38/25: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = undevicesimal diminished sixth, undevicesimal acute fifth
| Ratio = 38/25
| Color name = 19ogg6, nogugu 6th
| Monzo = 1 0 -2 0 0 0 0 1
| Cents = 724.88559
| Name =  
| Color name =
| Sound = Ji-38-25-csound-foscil-220hz.mp3
| Sound = Ji-38-25-csound-foscil-220hz.mp3
}}
}}
'''38/25''', the '''undevicesimal diminished sixth''' or '''undevicesimal acute fifth''', is a [[19-limit]] interval.
== Approximation ==
{{Interval edo approximation|38/25}}


== See also ==
== See also ==
 
* [[25/19]] its [[octave complement]]
* [[25/19]] -- its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[25-odd-limit]]
* [[25-odd-limit]]


[[Category:19-limit]]
[[Category:Interval ratio]]
[[Category:Listen]]


[[Category:Todo:expand]]
{{stub}}
[[Category:Todo:add interval name]]
 
[[Category:Todo:add color name]]
[[Category:Sixth]]
[[Category:Todo:improve synopsis]]
[[Category:Diminished sixth]]
[[Category:Fifth]]
[[Category:Superfifth]]

Latest revision as of 13:04, 3 November 2025

Interval information
Ratio 38/25
Subgroup monzo 2.5.19 [1 -2 1
Size in cents 724.8856¢
Names undevicesimal diminished sixth,
undevicesimal acute fifth
Color name 19ogg6, nogugu 6th
FJS name [math]\displaystyle{ \text{d6}^{19}_{5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 9.89178
Weil norm (log2 max(n, d)) 10.4959
Wilson norm (sopfr(nd)) 31

[sound info]
Open this interval in xen-calc

38/25, the undevicesimal diminished sixth or undevicesimal acute fifth, is a 19-limit interval.

Approximation

Edo approximations for 38/25 (724.89 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
5 3\5 720.00 -4.89 -2.04
10 6\10 720.00 -4.89 -4.07
15 9\15 720.00 -4.89 -6.11
20 12\20 720.00 -4.89 -8.14
28 17\28 728.57 +3.69 +8.60
33 20\33 727.27 +2.39 +6.56
38 23\38 726.32 +1.43 +4.53
43 26\43 725.58 +0.70 +2.49
48 29\48 725.00 +0.11 +0.46
53 32\53 724.53 -0.36 -1.58
58 35\58 724.14 -0.75 -3.61
63 38\63 723.81 -1.08 -5.65
68 41\68 723.53 -1.36 -7.69
73 44\73 723.29 -1.60 -9.72
76 46\76 726.32 +1.43 +9.06

See also


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