23/19: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = vicesimotertial supraminor third | | Name = vicesimotertial supraminor third | ||
| Color name = | | Color name = 23o19u3, twethonu 3rd | ||
| Sound = Ji-23-19-csound-foscil-220hz.mp3 | | Sound = Ji-23-19-csound-foscil-220hz.mp3 | ||
}} | }} | ||
'''23/19''', the '''vicesimotertial supraminor third''', is a [[23-limit]] interval that serves as the [[mediant]] of [[6/5]] and [[17/14]], and lies in the category of [[supraminor]] thirds. It differs from 6/5 by [[115/114]], from the septendecimal supraminor third, 17/14, by [[323/322]], and the undecimal supraminor third, [[40/33]], by [[760/759]]. | |||
It is closely approximated by [[29edo]]'s 8\29 interval, which is about 0.3{{c}} sharp of 23/19. | |||
== Approximation == | |||
{{Interval edo approximation|23/19}} | |||
== See also == | == See also == | ||
* [[38/23]] – its [[octave complement]] | |||
* [[Gallery of just intervals]] | |||
* [[23-odd-limit]] | |||
{{stub}} | |||
[[Category: | |||
[[Category:Third]] | |||
[[Category:Supraminor third]] | [[Category:Supraminor third]] | ||
[[Category:Minor third]] | [[Category:Minor third]] | ||
[[Category: | [[Category:Taxicab-2 intervals]] | ||
[[Category: | [[Category:Over-19 intervals]] | ||
Latest revision as of 13:05, 3 November 2025
| Interval information |
[sound info]
23/19, the vicesimotertial supraminor third, is a 23-limit interval that serves as the mediant of 6/5 and 17/14, and lies in the category of supraminor thirds. It differs from 6/5 by 115/114, from the septendecimal supraminor third, 17/14, by 323/322, and the undecimal supraminor third, 40/33, by 760/759.
It is closely approximated by 29edo's 8\29 interval, which is about 0.3 ¢ sharp of 23/19.
Approximation
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 7 | 2\7 | 342.86 | +12.10 | +7.06 |
| 11 | 3\11 | 327.27 | -3.49 | -3.20 |
| 18 | 5\18 | 333.33 | +2.57 | +3.86 |
| 22 | 6\22 | 327.27 | -3.49 | -6.40 |
| 29 | 8\29 | 331.03 | +0.27 | +0.66 |
| 33 | 9\33 | 327.27 | -3.49 | -9.59 |
| 36 | 10\36 | 333.33 | +2.57 | +7.72 |
| 40 | 11\40 | 330.00 | -0.76 | -2.54 |
| 47 | 13\47 | 331.91 | +1.15 | +4.52 |
| 51 | 14\51 | 329.41 | -1.35 | -5.74 |
| 58 | 16\58 | 331.03 | +0.27 | +1.32 |
| 62 | 17\62 | 329.03 | -1.73 | -8.93 |
| 65 | 18\65 | 332.31 | +1.55 | +8.38 |
| 69 | 19\69 | 330.43 | -0.33 | -1.88 |
| 76 | 21\76 | 331.58 | +0.82 | +5.18 |
| 80 | 22\80 | 330.00 | -0.76 | -5.08 |
See also
|
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