1L 5s

From Xenharmonic Wiki
Jump to: navigation, search

There are two notable low-harmonic-entropy scales with this MOS pattern. The first is tetracot, in which four generators make a 3/2. The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments "luna", "hemithird", and "hemiwürschmidt" all have 6-note MOSes that are very similar. But perhaps it is best known as roulette6, the six note haplitonic scale for the roulette Chromatic pair.

Other scales include very improper (incomplete) versions of porcupine, negri, etc.

Generator Cents Comments
0\1 0
1\12 100
1\11 109.09
1\10 120
1\9 133.33 L/s = 4
1200/(5+pi)
1\8 150 L/s = 3
1200/(5+e)
2\15 160
1200/(6+phi)
3\22 163.64 Porcupine is around here
1\7 171.43 Boundary of propriety

(generators larger than this are proper)

5\34 176.47 Tetracot is around here
4\27 177.78
3\20 180
1200/(5+sqrt(3))
8\53 181.13
1200/(5+phi) Unnamed golden temperament (discussed in this thread)
5\33 181.82
1200/(10+pi)
2\13 184.62 Optimum rank range glacial (L/s=3/2)
3\19 189.47
4\25 192
5\31 193.55
6\37 194.59 Luna/Hemithird/Roulette is around here: roulette6
1\6 200