34/25: Difference between revisions
Jump to navigation
Jump to search
Internal link |
m Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|" |
||
| (5 intermediate revisions by 4 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox Interval | {{Infobox Interval | ||
| Name = vengeance superfourth | | Name = vengeance superfourth | ||
| Color name = | | Color name = 17ogg5, sogugu 5th | ||
| Sound = Ji-34-25-csound-foscil-220hz.mp3 | | Sound = Ji-34-25-csound-foscil-220hz.mp3 | ||
}} | }} | ||
'''34/25''', the '''vengeance superfourth''', is a [[17-limit]] interval, named for its being the octave complement of [[25/17]]. This interval is particularly close to the non-radical interval: e/2 (531.23405 cents), an octave reduction of the "e-tave" which appears in [[Gene Ward Smith]]'s "Black Magic" Formulas. | |||
'''34/25''' the '''vengeance superfourth''', is a [[17-limit]] interval, named for its being the octave | == Approximation == | ||
{{Interval edo approximation|34/25}} | |||
== See also == | == See also == | ||
* [[25/17]] – its [[octave complement]] | * [[25/17]] – its [[octave complement]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[25-odd-limit]] | * [[25-odd-limit]] | ||
[[Category: | [[Category:Fourth]] | ||
[[Category:Superfourth]] | [[Category:Superfourth]] | ||
Latest revision as of 13:13, 3 November 2025
| Interval information |
[sound info]
34/25, the vengeance superfourth, is a 17-limit interval, named for its being the octave complement of 25/17. This interval is particularly close to the non-radical interval: e/2 (531.23405 cents), an octave reduction of the "e-tave" which appears in Gene Ward Smith's "Black Magic" Formulas.
Approximation
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 9 | 4\9 | 533.33 | +1.01 | +0.75 |
| 16 | 7\16 | 525.00 | -7.33 | -9.77 |
| 18 | 8\18 | 533.33 | +1.01 | +1.51 |
| 25 | 11\25 | 528.00 | -4.33 | -9.02 |
| 27 | 12\27 | 533.33 | +1.01 | +2.26 |
| 34 | 15\34 | 529.41 | -2.92 | -8.26 |
| 36 | 16\36 | 533.33 | +1.01 | +3.02 |
| 43 | 19\43 | 530.23 | -2.10 | -7.51 |
| 45 | 20\45 | 533.33 | +1.01 | +3.77 |
| 52 | 23\52 | 530.77 | -1.56 | -6.75 |
| 54 | 24\54 | 533.33 | +1.01 | +4.52 |
| 61 | 27\61 | 531.15 | -1.18 | -6.00 |
| 63 | 28\63 | 533.33 | +1.01 | +5.28 |
| 70 | 31\70 | 531.43 | -0.90 | -5.25 |
| 72 | 32\72 | 533.33 | +1.01 | +6.03 |
| 79 | 35\79 | 531.65 | -0.68 | -4.49 |