22/19: Difference between revisions
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'''22/19''', the '''undevicesimal semifourth''', is a [[19-limit]] [[interseptimal]] interval measuring about 254 [[cent]]s. [[Margo Schulter]] has called it the ''minimal minor third''. Since it is a good tuning for the [[godzilla]] generator in the [[11-limit]] and [[13-limit]], it can also be called the ''godzilla semifourth'': in godzilla, it serves for both [[8/7]] and [[7/6]]. | '''22/19''', the '''undevicesimal semifourth''', is a [[19-limit]] [[interseptimal]] interval measuring about 254 [[cent]]s. It is classified as a [[major second]] in [[FJS]] and [[HEJI]], sharp of the [[9/8|Pythagorean major second]] by [[176/171]], which is the difference between [[33/32]] and [[513/512]]. [[Margo Schulter]] has called it the ''minimal minor third'' instead, in which case it is flat of the [[32/27|Pythagorean minor third]] by [[304/297]]. A stack of two 22/19's exceeds [[4/3]] by [[363/361]]. | ||
Since it is a good tuning for the [[godzilla]] generator in the [[11-limit]] and [[13-limit]], it can also be called the ''godzilla semifourth'': in godzilla, it serves for both [[8/7]] and [[7/6]]. | |||
== Approximation == | |||
{{Interval edo approximation|22/19}} | |||
== See also == | == See also == | ||
Latest revision as of 07:54, 11 April 2026
| Interval information |
minimal minor third,
godzilla semifourth
[sound info]
22/19, the undevicesimal semifourth, is a 19-limit interseptimal interval measuring about 254 cents. It is classified as a major second in FJS and HEJI, sharp of the Pythagorean major second by 176/171, which is the difference between 33/32 and 513/512. Margo Schulter has called it the minimal minor third instead, in which case it is flat of the Pythagorean minor third by 304/297. A stack of two 22/19's exceeds 4/3 by 363/361.
Since it is a good tuning for the godzilla generator in the 11-limit and 13-limit, it can also be called the godzilla semifourth: in godzilla, it serves for both 8/7 and 7/6.
Approximation
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 5 | 1\5 | 240.00 | -13.80 | -5.75 |
| 9 | 2\9 | 266.67 | +12.86 | +9.65 |
| 14 | 3\14 | 257.14 | +3.34 | +3.89 |
| 19 | 4\19 | 252.63 | -1.17 | -1.86 |
| 24 | 5\24 | 250.00 | -3.80 | -7.61 |
| 28 | 6\28 | 257.14 | +3.34 | +7.79 |
| 33 | 7\33 | 254.55 | +0.74 | +2.04 |
| 38 | 8\38 | 252.63 | -1.17 | -3.72 |
| 43 | 9\43 | 251.16 | -2.64 | -9.47 |
| 47 | 10\47 | 255.32 | +1.51 | +5.93 |
| 52 | 11\52 | 253.85 | +0.04 | +0.18 |
| 57 | 12\57 | 252.63 | -1.17 | -5.57 |
| 61 | 13\61 | 255.74 | +1.93 | +9.82 |
| 66 | 14\66 | 254.55 | +0.74 | +4.07 |
| 71 | 15\71 | 253.52 | -0.28 | -1.68 |
| 76 | 16\76 | 252.63 | -1.17 | -7.43 |
| 80 | 17\80 | 255.00 | +1.20 | +7.97 |