Gallery of nonoctave scales: Difference between revisions

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Xenwolf (talk | contribs)
User scales (add your own scales here): improve table formatting (rows are much easier to see with space before cell content); since '-' and '+' are table metachars, this also spares <nowiki></nowiki> stuff
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=== By LeTimo (User: Cerdded41) ===
=== By LeTimo (User: Cerdded41) ===
{| class="wikitable"
{| class="wikitable"
|+Ti scale (5ed[[40/27]], 8.8177-EDO):
!step
!cents
!JI interval
(11-limit)
!error
|-
|-
|1
|+ Ti scale (5ed[[40/27]], 8.8177-EDO):
|136.090
|-
|[[27/25]]
! Step
! Cents
! JI interval <br> (11-limit)
! Error
|-
| 1
| 136.090
| [[27/25]]
| +2.852 ¢
| +2.852 ¢
|-
|-
|2
| 2
|272.179
| 272.179
|[[7/6]]
| [[7/6]]
| +5.308 ¢
| +5.308 ¢
|-
|-
|3
| 3
|408.269
| 408.269
|[[81/64]]
| [[81/64]]
| +0.448 ¢
| +0.448 ¢
|-
|-
|4
| 4
|544.359
| 544.359
|[[11/8]]
| [[11/8]]
| -6.959 ¢
| -6.959 ¢
|-
|-
|'''5'''
| '''5'''
|'''680.449'''
| '''680.449'''
|'''[[40/27]]'''
| '''[[40/27]]'''
|'''±0 ¢'''
| '''±0 ¢'''
|-
|-
|6
| 6
|816.538
| 816.538
|[[8/5]]
| [[8/5]]
| +2.852 ¢
| +2.852 ¢
|-
|-
|7
| 7
|952.628
| 952.628
|[[140/81]]
| [[140/81]]
| +5.308 ¢
| +5.308 ¢
|-
|-
|8
| 8
|1088.718
| 1088.718
|[[15/8]]
| [[15/8]]
| +0.449 ¢
| +0.449 ¢
|-
|-
|9
| 9
|1224.808
| 1224.808
|[[81/40]]
| [[81/40]]
| +3.302 ¢
| +3.302 ¢
|-
|-
|'''10'''
| '''10'''
|'''1360.897'''
| '''1360.897'''
|'''[[11/5]]'''
| '''[[11/5]]'''
| '''-4.107 ¢'''
| '''-4.107 ¢'''
|}
|}
{| class="wikitable"
{| class="wikitable"
|+Ni scale (4ed[[11/9]], 13.817-EDO):
!step
!cents
!JI interval
(17-limit)
!error
|-
|-
|1
|+ Ni scale (4ed[[11/9]], 13.817-EDO):
|86.852
|-
|[[21/20]]
! Step
|<nowiki>+2.385 ¢</nowiki>
! Cents
! JI interval <br> (17-limit)
! Error
|-
| 1
| 86.852
| [[21/20]]
| +2.385 ¢
|-
|-
|2
| 2
|173.704
| 173.704
|[[11/10]]
| [[11/10]]
|<nowiki>+8.700 ¢</nowiki>
| +8.700 ¢
|-
|-
|3
| 3
|260.556
| 260.556
|[[7/6]]
| [[7/6]]
|<nowiki>-6.315 ¢</nowiki>
| -6.315 ¢
|-
|-
|'''4'''
| '''4'''
|'''347.408'''
| '''347.408'''
|'''[[11/9]]'''
| '''[[11/9]]'''
|'''±0 ¢'''
| '''±0 ¢'''
|-
|-
|5
| 5
|434.260
| 434.260
|[[9/7]]
| [[9/7]]
|<nowiki>-0.284 ¢</nowiki>
| -0.284 ¢
|-
|-
|6
| 6
|521.112
| 521.112
|[[27/20]]
| [[27/20]]
|<nowiki>+1.561 ¢</nowiki>
| +1.561 ¢
|-
|-
|7
| 7
|607.964
| 607.964
|[[17/12]]
| [[17/12]]
|<nowiki>+4.964 ¢</nowiki>
| +4.964 ¢
|-
|-
|'''8'''
| '''8'''
|'''694.816'''
| '''694.816'''
|'''[[112/75]], [[3/2]]'''
| '''[[112/75]], [[3/2]]'''
|'''+0.573 ¢, -7.139 ¢'''
| '''+0.573 ¢, -7.139 ¢'''
|-
|-
|9
| 9
|781.668
| 781.668
|[[11/7]]
| [[11/7]]
|<nowiki>-0.824 ¢</nowiki>
| -0.824 ¢
|-
|-
|10
| 10
|868.520
| 868.520
|[[5/3]]
| [[5/3]]
|<nowiki>-15.839 ¢</nowiki>
| -15.839 ¢
|-
|-
|11
| 11
|955.372
| 955.372
|[[26/15]]
| [[26/15]]
|<nowiki>+3.113 ¢</nowiki>
| +3.113 ¢
|-
|-
|'''12'''
| '''12'''
|'''1042.224'''
| '''1042.224'''
|'''[[11/6]]'''
| '''[[11/6]]'''
|'''-7.139 ¢'''
| '''-7.139 ¢'''
|-
|-
|13
| 13
|1129.076
| 1129.076
|[[48/25]]
| [[48/25]]
|<nowiki>-0.252 ¢</nowiki>
| -0.252 ¢
|-
|-
|14
| 14
|1215.928
| 1215.928
|[[99/49]] ([[99/98]] + 2/1)
| [[99/49]] ([[99/98]] + 2/1)
|<nowiki>-1.648 ¢</nowiki>
| -1.648 ¢
|-
|-
|15
| 15
|1302.780
| 1302.780
|[[17/8]] ([[17/16]] + 2/1)
| [[17/8]] ([[17/16]] + 2/1)
|<nowiki>-2.175 ¢</nowiki>
| -2.175 ¢
|-
|-
|'''16'''
| '''16'''
|'''1389.632'''
| '''1389.632'''
|'''[[49/22]]''' '''([[49/44]] + 2/1)'''
| '''[[49/22]] ([[49/44]] + 2/1)'''
|'''+3.298 ¢'''
| '''+3.298 ¢'''
|}
|}

Revision as of 08:30, 7 April 2022

Just

ennon13

ennon15

ennon28

ennon43

freivaldthree

Three Days Apart by Jake Freivald

Tempered

meantone-fifths7

meantone-fifths11

magic-majthird6

magic-majthird7

magic-majthird13

User scales (add your own scales here)

By LeTimo (User: Cerdded41)

Ti scale (5ed40/27, 8.8177-EDO):
Step Cents JI interval
(11-limit)
Error
1 136.090 27/25 +2.852 ¢
2 272.179 7/6 +5.308 ¢
3 408.269 81/64 +0.448 ¢
4 544.359 11/8 -6.959 ¢
5 680.449 40/27 ±0 ¢
6 816.538 8/5 +2.852 ¢
7 952.628 140/81 +5.308 ¢
8 1088.718 15/8 +0.449 ¢
9 1224.808 81/40 +3.302 ¢
10 1360.897 11/5 -4.107 ¢
Ni scale (4ed11/9, 13.817-EDO):
Step Cents JI interval
(17-limit)
Error
1 86.852 21/20 +2.385 ¢
2 173.704 11/10 +8.700 ¢
3 260.556 7/6 -6.315 ¢
4 347.408 11/9 ±0 ¢
5 434.260 9/7 -0.284 ¢
6 521.112 27/20 +1.561 ¢
7 607.964 17/12 +4.964 ¢
8 694.816 112/75, 3/2 +0.573 ¢, -7.139 ¢
9 781.668 11/7 -0.824 ¢
10 868.520 5/3 -15.839 ¢
11 955.372 26/15 +3.113 ¢
12 1042.224 11/6 -7.139 ¢
13 1129.076 48/25 -0.252 ¢
14 1215.928 99/49 (99/98 + 2/1) -1.648 ¢
15 1302.780 17/8 (17/16 + 2/1) -2.175 ¢
16 1389.632 49/22 (49/44 + 2/1) +3.298 ¢