19/18: Difference between revisions
Jump to navigation
Jump to search
Cleanup since we've had a page for 1216/1215 |
Rename since "limma" is almost synonymous with "minor second" |
||
| Line 4: | Line 4: | ||
| Monzo = -1 -2 0 0 0 0 0 1 | | Monzo = -1 -2 0 0 0 0 0 1 | ||
| Cents = 93.60301 | | Cents = 93.60301 | ||
| Name = large undevicesimal semitone <br> | | Name = large undevicesimal semitone <br>undevicesimal limma <br>Boethius' semitone | ||
| Color name = 19o2, ino 2nd | | Color name = 19o2, ino 2nd | ||
| FJS name = m2<sup>19</sup> | | FJS name = m2<sup>19</sup> | ||
| Line 10: | Line 10: | ||
}} | }} | ||
In [[19-limit]] [[just intonation]], '''19/18''' is the '''large undevicesimal semitone''', measuring about 93.6¢. It is sharp of the [[256/243|Pythagorean | In [[19-limit]] [[just intonation]], '''19/18''' is the '''large undevicesimal semitone''' or '''Boethius' semitone''', measuring about 93.6¢. It is sharp of the [[256/243|Pythagorean limma (256/243)]] by [[513/512]], the ''undevicesimal comma'' aka ''Boethius' comma''. | ||
The small comma (39/35)/(19/18)<sup>2</sup> = 12636/12635 is tempered out in {{EDOs| 53, 130, 140, 243, 270, 422, 513, 665, 742, 795, 935, 1065, 1178, 1205, 1308, 1395, 1448, 1578, 2000, 2190, 2243, 2460, 3125, 3178, 3395, and 4703 EDOs}}. | The small comma (39/35)/(19/18)<sup>2</sup> = 12636/12635 is tempered out in {{EDOs| 53, 130, 140, 243, 270, 422, 513, 665, 742, 795, 935, 1065, 1178, 1205, 1308, 1395, 1448, 1578, 2000, 2190, 2243, 2460, 3125, 3178, 3395, and 4703 EDOs}}. | ||
| Line 17: | Line 17: | ||
* [[36/19]] – its [[octave complement]], the undevicesimal major seventh. | * [[36/19]] – its [[octave complement]], the undevicesimal major seventh. | ||
* [[20/19]] – small undevicesimal semitone | * [[20/19]] – small undevicesimal semitone | ||
* [[Gallery of just intervals]] | |||
[[Category:19-limit]] | [[Category:19-limit]] | ||
| Line 23: | Line 24: | ||
[[Category:Second]] | [[Category:Second]] | ||
[[Category:Minor second]] | [[Category:Minor second]] | ||
[[Category:Boethius]] | |||
[[Category:Listen]] | [[Category:Listen]] | ||
Revision as of 06:48, 6 February 2021
| Interval information |
undevicesimal limma
Boethius' semitone
reduced
[sound info]
In 19-limit just intonation, 19/18 is the large undevicesimal semitone or Boethius' semitone, measuring about 93.6¢. It is sharp of the Pythagorean limma (256/243) by 513/512, the undevicesimal comma aka Boethius' comma.
The small comma (39/35)/(19/18)2 = 12636/12635 is tempered out in 53, 130, 140, 243, 270, 422, 513, 665, 742, 795, 935, 1065, 1178, 1205, 1308, 1395, 1448, 1578, 2000, 2190, 2243, 2460, 3125, 3178, 3395, and 4703 EDOs.
See also
- 36/19 – its octave complement, the undevicesimal major seventh.
- 20/19 – small undevicesimal semitone
- Gallery of just intervals