User:Squib/Simple rank-2 temperaments by subgroup: Difference between revisions
Jump to navigation
Jump to search
No edit summary Tags: Mobile edit Mobile web edit Advanced mobile edit |
No edit summary Tags: Mobile edit Mobile web edit Advanced mobile edit |
||
| (2 intermediate revisions by the same user not shown) | |||
| Line 12: | Line 12: | ||
==5-limit== | ==5-limit== | ||
===2.3.5=== | ===2.3.5=== | ||
characterized by 8:9:10 | |||
====Meantone==== | ====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. | 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. | ||
| Line 17: | Line 18: | ||
Commas: 81/80 | Commas: 81/80 | ||
Ploidacot: 1-0-1 | Ploidacot: haploid monocot (1-0-1) | ||
==== | ====restrictions==== | ||
schismic, kleismic, magic | |||
==7-limit== | ==7-limit== | ||
===2.3.7=== | ===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). | |||
====64/63==== | |||
====slendric==== | |||
===2.3.5.7=== | ===2.3.5.7=== | ||
====magic==== | |||
====extensions==== | |||
septimal meantone, mothra and rodan, superpyth? | |||
====restrictions==== | |||
orwell, miracle | |||
==11-limit== | |||
===2.3.11=== | |||
====rastmic==== | |||
===2.3.5.11=== | |||
characterized by 8:9:10:11:12 | |||
====mohajira==== | |||
====tetracot==== | |||
====gravity==== | |||
===2.3.7.11=== | |||
====skwares==== | |||
====leapfrog?==== | |||
===2.3.5.7.11=== | |||
====miracle==== | |||
====orwell==== | |||
====extensions==== | |||
squares, magic | |||
==13-limit== | |||
===2.3.13=== | |||
===2.3.5.13=== | |||
====kleismic==== | |||
=no-twos= | =no-twos= | ||
==5-limit== | ==5-limit== | ||
| Line 46: | Line 74: | ||
==7-limit== | ==7-limit== | ||
===2.5.7=== | ===2.5.7=== | ||
didacus | |||
==11-limit== | |||
===2.5.11=== | |||
===2.7.11=== | |||
===2.5.7.11=== | |||
=no-twos no-threes= | =no-twos no-threes= | ||
==7-limit== | ==7-limit== | ||
Latest revision as of 22:14, 16 November 2025
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
characterized by 8:9:10
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: haploid monocot (1-0-1)
restrictions
schismic, kleismic, magic
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).
64/63
slendric
2.3.5.7
magic
extensions
septimal meantone, mothra and rodan, superpyth?
restrictions
orwell, miracle
11-limit
2.3.11
rastmic
2.3.5.11
characterized by 8:9:10:11:12
mohajira
tetracot
gravity
2.3.7.11
skwares
leapfrog?
2.3.5.7.11
miracle
orwell
extensions
squares, magic
13-limit
2.3.13
2.3.5.13
kleismic
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
7-limit
2.5.7
didacus
11-limit
2.5.11
2.7.11
2.5.7.11
no-twos no-threes
7-limit
5.7
5.7 JI
description