User:Squib/Simple rank-2 temperaments by subgroup

description

2.3.etc

3-limit

2.3

Pythagorean

Also known as 2.3 JI. It's a temperament in the same way that 1edo is an edo.

Commas: none

Ploidacot: 1-0-1 (haploid monocot)

5-limit

2.3.5

Meantone

The simplest and most natural 5-limit temperament. It's no wonder classical music has been using this for hundreds of years, although I wish it didn't devolve into 12edo.

Commas: 81/80

Ploidacot: 1-0-1 (haploid monocot)

More complex temperaments

schismic aka helmholtz

7-limit

2.3.7

characterized by 6:7:8:9, and therefore by 49/48 (the difference between 7/6 and 8/7) and 64/63 (the difference between 8/7 and 9/8).

2.3.5.7

extensions

septimal meantone, superpyth, mothra, rodan

11-limit

2.3.5.11

characterized by 8:9:10:11:12

no-twos

5-limit

3.5

3.5 JI

description

7-limit

3.5.7

BPS

description 245/243

no-threes

5-limit

2.5

2.5 JI

description

no-twos no-threes

7-limit

5.7

5.7 JI

description