19/18: Difference between revisions

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| 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 = greater undevicesimal semitone <br>greater undevicesimal limma <br>undevicesimal minor second
| Name = large undevicesimal semitone <br>large undevicesimal limma <br>undevicesimal minor second
| Color name = 19o2, ino 2nd
| Color name = 19o2, ino 2nd
| FJS name = m2<sup>19</sup>
| Sound = Ji-19-18-csound-foscil-220hz.mp3
| Sound = Ji-19-18-csound-foscil-220hz.mp3
}}
}}


In [[19-limit]] [[Just Intonation]], '''19/18''' is the "greater undevicesimal semitone," measuring about 93.6¢. Its [[octave complement]] is [[36/19]], the "undevicesimal major seventh".
In [[19-limit]] [[just intonation]], '''19/18''' is the '''large undevicesimal semitone''', measuring about 93.6¢. It is sharp of the [[256/243|Pythagorean minor second (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 {{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}}.


The password comma, (256/243)/(20/19) = (19/18)/(135/128) = 1216/1215 is tempered out in {{EDOs| 12, 29, 41, 53, 65, 77, 87, 94, 99, 106, 111, 118, 130, 140, 152, 159, 183, 193, 205, 217, 270, 282, 311, 323, 364, 400, 422, 581, and 692 EDOs}}, leading to a variety of temperaments which identifies small undevicesimal semitone with [[256/243|Pythagorean limma]] and greater undevicesimal semitone with [[135/128|major limma]] respectively.
== See also ==
 
* [[36/19]] – its [[octave complement]], the undevicesimal major seventh.
==See also==
* [[20/19]] – small undevicesimal semitone
 
* [[20/19]] - small undevicesimal semitone


[[Category:19-limit]]
[[Category:19-limit]]

Revision as of 06:45, 6 February 2021

Interval information
Ratio 19/18
Subgroup monzo 2.3.19 [-1 -2 1⟩
Size in cents 93.60301¢
Name large undevicesimal semitone
large undevicesimal limma
undevicesimal minor second
Color name 19o2, ino 2nd
FJS name [math]\displaystyle{ \text{m2}^{19} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 8.41785
Weil norm (log2 max(n, d)) 8.49586
Wilson norm (sopfr(nd)) 27

[sound info]
Open this interval in xen-calc

In 19-limit just intonation, 19/18 is the large undevicesimal semitone, measuring about 93.6¢. It is sharp of the Pythagorean minor second (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

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