55/32: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = keenanismic supermajor sixth | | Name = keenanismic supermajor sixth | ||
| Color name = 1oy6, loyo 6th | | Color name = 1oy6, loyo 6th | ||
| Sound = Ji-55-32-csound-foscil-220hz.mp3 | | Sound = Ji-55-32-csound-foscil-220hz.mp3 | ||
}} | }} | ||
'''55/32''', the '''keenanismic supermajor sixth''', is [[385/384]] (~4.5 [[cent|¢]]) sharper than [[12/7]], making it more than a bit useful in [[11-limit]] just intonation. | '''55/32''', the '''keenanismic supermajor sixth''', is [[385/384]] (~4.5 [[cent|¢]]) sharper than [[12/7]], making it more than a bit useful in [[11-limit]] just intonation. | ||
It also happens to be the ratio between the standard A of 440Hz and the nonstandard C of 256Hz occasionally used for mathematical convenience. | |||
== Approximation == | |||
{{Interval edo approximation|55/32}} | |||
== See also == | == See also == | ||
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* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:Sixth]] | [[Category:Sixth]] | ||
[[Category:Supermajor sixth]] | [[Category:Supermajor sixth]] | ||
{{todo|improve synopsis}} | |||
{{todo | |||
Latest revision as of 13:12, 3 November 2025
| Interval information |
reduced harmonic
[sound info]
55/32, the keenanismic supermajor sixth, is 385/384 (~4.5 ¢) sharper than 12/7, making it more than a bit useful in 11-limit just intonation.
It also happens to be the ratio between the standard A of 440Hz and the nonstandard C of 256Hz occasionally used for mathematical convenience.
Approximation
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 5 | 4\5 | 960.00 | +22.37 | +9.32 |
| 9 | 7\9 | 933.33 | -4.30 | -3.22 |
| 14 | 11\14 | 942.86 | +5.23 | +6.10 |
| 18 | 14\18 | 933.33 | -4.30 | -6.45 |
| 23 | 18\23 | 939.13 | +1.50 | +2.87 |
| 27 | 21\27 | 933.33 | -4.30 | -9.67 |
| 32 | 25\32 | 937.50 | -0.13 | -0.35 |
| 37 | 29\37 | 940.54 | +2.91 | +8.97 |
| 41 | 32\41 | 936.59 | -1.05 | -3.57 |
| 46 | 36\46 | 939.13 | +1.50 | +5.75 |
| 50 | 39\50 | 936.00 | -1.63 | -6.80 |
| 55 | 43\55 | 938.18 | +0.55 | +2.52 |
| 64 | 50\64 | 937.50 | -0.13 | -0.70 |
| 69 | 54\69 | 939.13 | +1.50 | +8.62 |
| 73 | 57\73 | 936.99 | -0.65 | -3.93 |
| 78 | 61\78 | 938.46 | +0.83 | +5.39 |
See also
- 64/55 -- its octave complement
- Gallery of just intervals