49/32: Difference between revisions
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But "septimal superfifth" is 32/21 |
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{{Infobox Interval | {{Infobox Interval | ||
| Name = septimal inframinor sixth, octave-reduced 49th harmonic | |||
| Color name = zz6, zozo 6th | |||
| Name = | |||
| Color name = | |||
| Sound = Ji-49-32-csound-foscil-220hz.mp3 | | Sound = Ji-49-32-csound-foscil-220hz.mp3 | ||
}} | }} | ||
'''49/32''', the ''' | '''49/32''', the '''the octave-reduced 49th harmonic''', also known as the '''septimal inframinor sixth''' or '''wide septimal superfifth'''{{idiosyncratic}}, or is 640/637 (8.1 cents) flat of [[20/13]], and is the interval between [[8/7]] and [[7/4]]. | ||
Five octaves plus 49/32 gives the interval [[49/1]], the ‘wide fortieth’, the equivalence interval for [[173ed49]]. | |||
== Approximation == | |||
{{Interval edo approximation|49/32}} | |||
== See also == | == See also == | ||
* [[64/49]] | * [[64/49]] – its octave complement | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:Interseptimal intervals]] | |||
[[Category:Interseptimal]] | |||
[[Category:Superfifth]] | [[Category:Superfifth]] | ||
[[Category:Fifth]] | [[Category:Fifth]] | ||
[[Category:Subminor sixth]] | [[Category:Subminor sixth]] | ||
[[Category:Sixth]] | [[Category:Sixth]] | ||
Latest revision as of 13:15, 3 November 2025
| Interval information |
octave-reduced 49th harmonic
reduced harmonic
[sound info]
49/32, the the octave-reduced 49th harmonic, also known as the septimal inframinor sixth or wide septimal superfifth[idiosyncratic term], or is 640/637 (8.1 cents) flat of 20/13, and is the interval between 8/7 and 7/4.
Five octaves plus 49/32 gives the interval 49/1, the ‘wide fortieth’, the equivalence interval for 173ed49.
Approximation
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 5 | 3\5 | 720.00 | -17.65 | -7.35 |
| 8 | 5\8 | 750.00 | +12.35 | +8.23 |
| 13 | 8\13 | 738.46 | +0.81 | +0.88 |
| 18 | 11\18 | 733.33 | -4.32 | -6.48 |
| 21 | 13\21 | 742.86 | +5.21 | +9.11 |
| 26 | 16\26 | 738.46 | +0.81 | +1.75 |
| 31 | 19\31 | 735.48 | -2.17 | -5.60 |
| 34 | 21\34 | 741.18 | +3.52 | +9.99 |
| 39 | 24\39 | 738.46 | +0.81 | +2.63 |
| 44 | 27\44 | 736.36 | -1.29 | -4.72 |
| 52 | 32\52 | 738.46 | +0.81 | +3.51 |
| 57 | 35\57 | 736.84 | -0.81 | -3.85 |
| 65 | 40\65 | 738.46 | +0.81 | +4.39 |
| 70 | 43\70 | 737.14 | -0.51 | -2.97 |
| 78 | 48\78 | 738.46 | +0.81 | +5.26 |
See also
- 64/49 – its octave complement
- Gallery of just intervals