311edo: Difference between revisions

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detempering 311edo defeats most of the point of 311 as an equal temperament and this makes the page look less serious
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=== Ups and downs notation ===
=== Ups and downs notation ===
[[Ups and downs notation]] uses ^ and v (up and down) to stand for 1 edostep and > and < (quip and quid) to stand for 5 edosteps.
[[Ups and downs notation]] uses ^ and v (up and down) to stand for 1 edostep and > and < (quip and quid) to stand for 5 edosteps. The spoken names run up, dup, trup, quup/downquip, quip, upquip, etc. >> is quipquip and >>> is tripquip.  


* 0\311 = P1 = perfect unison
{| class="wikitable center-all"
* 1\311 = ^1 = upunison
|-
* 2\311 = ^^1 = dup unison
! Steps
* 3\311 = ^<sup>3</sup>1 = trup unison (or ^^^1)
| 1
* 4\311 = ^<sup>4</sup>1 = quup unison (or v>, or downquip)
| 2
* 5\311 = >1 = quip unison
| 3
* 6\311 = ^>1 = upquip unison
| 4
* 7\311 = ^^> = dupquip unison
| 5
*
| 6
 
| 7
'''TO DO: complete this'''
| 8
 
| 9
 
| 10
8\311 = ^<sup>3</sup>>1 = dup-dubdrop unison
| 11
 
| 12
9\311 = ^^\1 = dupdrop unison
| 13
 
| 14
10\311 = ^^1 = dup unison
| 15
 
|-
11\311 = ^^/1 = duplift unison = vv\\m2 = dud-dubdropminor second
! Symbol
 
| ^1
12\311 = ^^//1 = dup-dublift unison = vv\m2 = duddropminor second
| ^^1
 
| ^^^1
13\311 = vvm2 = dudminor second
| v>1
 
| >1
14\311 = vv/m2 = dudliftminor second
| ^>1
 
| ^^>1
15\311 = vv//m2 = dud-dubliftminor second
| ^^^>1
 
<<<m2
16\311 = v\\m2 = down-dubdropminor second
| v>>1
 
^<<<m2
17\311 = v\m2 = downdropminor second
| >>1
 
vvv<<m2
18\311 = vm2 = downminor second
| ^>>1
 
vv<<m2
19\311 = v/m2 = downliftminor second
| ^^>>1
 
v<<m2
20\311 = v//m2 = down-dubliftminor second
| ^^^>>1
 
<<m2
21\311 = \\m2 = dubdropminor second
| v>>>1
 
^<<m2
22\311 = \m2 = dropminor second
| >>>1
 
vvv<m2
23\311 = m2 = minor second
|-
 
! Steps
24\311 = /m2 = liftminor second
| 16
 
| 17
25\311 = //m2 = dubliftminor second
| 18
 
| 19
26\311 = ^\\m2 = up-dubdropminor second
| 20
 
| 21
27\311 = ^\m2 = updropminor second
| 22
 
| 23
28\311 = ^m2 = upminor second
| 24
 
| 25
29\311 = ^/m2 = upliftminor second
| 26
 
| 27
30\311 = ^//m2 = up-dubliftminor second
| 28
 
| 29
31\311 = ^^\\m2 = dup-dubdropminor second = v\\~2 = down-dubdropmid second
| 30
 
|-
32\311 = ^^\m2 = dupdropminor second  = v\~2 = downdropmid second
! Symbol
 
| ^<<<A1
33\311 = ^^m2 = dupminor second  = v~2 = downmid second
vv<m2
 
| vvv<<A1
34\311 = ^^/m2 = dupliftminor second  = v/~2 = downliftmid second
v<m2
 
| vv<<A1
35\311 = ^^//m2 = dup-dubliftminor second  = v//~2 = down-dubliftmid second
<m2
 
| v<<A1
36\311 = \\~2 = dubdropmid second
^<m2
 
| <<A1
37\311 = \~2 = dropmid second
vvvm2
 
| ^<<A1
38\311 = ~2 = mid second
vvm2
 
| vvv<A1
etc.
vm2
| vv<A1
m2
| v<A1
^m2
| <A1
^^m2
| ^<A1
^^^m2
| vvvA1
v>m2
| vvA1
>m2
| vA1
^>m2
| A1
^^>m2
|}


== JI approximation ==
== JI approximation ==