19edo: Difference between revisions

TallKite (talk | contribs)
added M2, m2 and A1 to the template, moved the primes-error table up to the top
TallKite (talk | contribs)
template cleanup
Line 6: Line 6:
}}
}}
{{Infobox ET
{{Infobox ET
| Prime factorization = 19
| Subgroup = 2.3.5.7.13
| Step size = 63.158¢
| Step size = 63.158¢
| Fifth type = [[Meantone]] 11\19 694.737¢
| Fifth type = 11\19 694.737¢
| Major 2nd = 3\19 = 189¢
| Major 2nd = 3\19 = 189¢
| Minor 2nd = 2\19 = 126¢
| Minor 2nd = 2\19 = 126¢
| Augmented 1sn = 1\19 = 63¢
| Augmented 1sn = 1\19 = 63¢
| Common uses = extended third-comma meantone, semaphore
| Important MOS = [[meantone]] diatonic 5*3-2*2 (11\19, 1\1)<br/>[[semaphore]] 5*3-4*1 (4\19, 1\1)<br/>[[sensi]] 3*3-5*2 (7\19, 1\1)
}}
}}


Line 793: Line 789:
* [[List of 19et rank two temperaments by complexity]]
* [[List of 19et rank two temperaments by complexity]]
* [[List of edo-distinct 19et rank two temperaments]]
* [[List of edo-distinct 19et rank two temperaments]]
Important MOSes include:
* [[meantone]] diatonic 5*3-2*2 (11\19, 1\1)
* [[semaphore]] 5*3-4*1 (4\19, 1\1)
* [[sensi]] 3*3-5*2 (7\19, 1\1)


Since 19 is prime, all rank two temperaments in 19edo have one period per octave (i.e. are linear). Therefore you can make a correspondence between intervals and the linear temperaments they generate.
Since 19 is prime, all rank two temperaments in 19edo have one period per octave (i.e. are linear). Therefore you can make a correspondence between intervals and the linear temperaments they generate.