User:Contribution/Basic analysis of selected EDOs: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older edit
VisualWikitext
Contribution (talk | contribs)
3,304 edits
No edit summary
ArrowHead294 (talk | contribs)
15,213 edits
No edit summary
 
(23 intermediate revisions by one other user not shown)
Line 1: Line 1:
= EDOs with a strong local zeta peak =
= 9-cents-minimum-limit =
 
== EDOs with a strong local zeta peak ==
== 12edo ==
=== 12edo ===
sharpness = 1
sharpness = 1
L = 2 ; s = 1
L = 2 ; s = 1
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
! Degree
!Degree
! Notation
!Notation
! Approximate Ratios
!Approximate Ratios
! Approximate Ratios
!Approximate Ratios
! Notation
!Notation
! Degree
!Degree
|-
|-
|0
| 0
|P1
| P1
|1/1
| 1/1
|2/1
| 2/1
|P8
| P8
|12
| 12
|-
|-
|1
| 1
|m2
| m2
|
|  
|
|  
|M7
| M7
|11
| 11
|-
|-
|2
| 2
|M2
| M2
|10/9, 9/8
| 10/9, 9/8
|16/9, 9/5
| 16/9, 9/5
|m7
| m7
|10
| 10
|-
|-
|3
| 3
|m3
| m3
|6/5
| 6/5
|5/3
| 5/3
|M6
| M6
|9
| 9
|-
|-
|4
| 4
|M3
| M3
|5/4
| 5/4
|8/5
| 8/5
|m6
| m6
|8
| 8
|-
|-
|5
| 5
|P4
| P4
|4/3
| 4/3
|3/2
| 3/2
|P5
| P5
|7
| 7
|-
|-
|6
| 6
|A4
| A4
| colspan="2" |7/5, 10/7
| colspan="2" | 7/5, 10/7
|d5
| d5
|6
| 6
|}
|}


== 19edo ==
=== 19edo ===
sharpness = 1
sharpness = 1
L = 3 ; s = 2
L = 3 ; s = 2
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
! Degree
!Degree
! Notation
!Notation
! Approximate Ratios
!Approximate Ratios
! Approximate Ratios
!Approximate Ratios
! Notation
!Notation
! Degree
!Degree
|-
|-
|0
| 0
|P1
| P1
|1/1
| 1/1
|2/1
| 2/1
|P8
| P8
|19
| 19
|-
|-
|1
| 1
|A1, d2
| A1, d2
|
|  
|
|  
|A7, d8
| A7, d8
|18
| 18
|-
|-
|2
| 2
|m2
| m2
|14/13
| 14/13
|13/7
| 13/7
|M7
| M7
|17
| 17
|-
|-
|3
| 3
|M2
| M2
|10/9, 9/8
| 10/9, 9/8
|16/9, 9/5
| 16/9, 9/5
|m7
| m7
|16
| 16
|-
|-
|4
| 4
|A2, d3
| A2, d3
|15/13
| 15/13
|26/15
| 26/15
|A6, d7
| A6, d7
|15
| 15
|-
|-
|5
| 5
|m3
| m3
|6/5
| 6/5
|5/3
| 5/3
|M6
| M6
|14
| 14
|-
|-
|6
| 6
|M3
| M3
|5/4
| 5/4
|8/5
| 8/5
|m6
| m6
|13
| 13
|-
|-
|7
| 7
|A3, d4
| A3, d4
|9/7
| 9/7, 13/10
|14/9
| 20/13, 14/9
|A5, d6
| A5, d6
|12
| 12
|-
|-
|8
| 8
|P4
| P4
|4/3
| 4/3
|3/2
| 3/2
|P5
| P5
|11
| 11
|-
|-
|9
| 9
|A4
| A4
|18/13
| 18/13
|13/9
| 13/9
|d5
| d5
|10
| 10
|}
|}


== 22edo ==
=== 22edo ===
sharpness = 3
sharpness = 3
L = 4 ; s = 1
L = 4 ; s = 1
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
! Degree
!Degree
! Notation
!Notation
! Approximate Ratios
!Approximate Ratios
! Approximate Ratios
!Approximate Ratios
! Notation
!Notation
! Degree
!Degree
|-
|-
|0
| 0
|P1
| P1
|1/1
| 1/1
|2/1
| 2/1
|P8
| P8
|22
| 22
|-
|-
|1
| 1
|m2
| m2
|
|  
|
|  
|M7
| M7
|21
| 21
|-
|-
|2
| 2
|↑m2
| ↑m2
|16/15
| 16/15
|15/8
| 15/8
|↓M7
| ↓M7
|20
| 20
|-
|-
|3
| 3
|↓M2
| ↓M2
|11/10
| 11/10
|20/11
| 20/11
|↑m7
| ↑m7
|19
| 19
|-
|-
|4
| 4
|M2
| M2
|9/8, 8/7
| 9/8, 8/7
|7/4, 16/9
| 7/4, 16/9
|m7
| m7
|18
| 18
|-
|-
|5
| 5
|m3
| m3
|7/6
| 7/6
|12/7
| 12/7
|M6
| M6
|17
| 17
|-
|-
|6
| 6
|↑m3
| ↑m3
|6/5
| 6/5
|5/3
| 5/3
|↓M6
| ↓M6
|16
| 16
|-
|-
|7
| 7
|↓M3
| ↓M3
|5/4
| 5/4
|8/5
| 8/5
|↑m6
| ↑m6
|15
| 15
|-
|-
|8
| 8
|M3
| M3
|9/7
| 9/7
|14/9
| 14/9
|m6
| m6
|14
| 14
|-
|-
|9
| 9
|P4
| P4
|4/3
| 4/3
|3/2
| 3/2
|P5
| P5
|13
| 13
|-
|-
|10
| 10
|↑P4
| ↑P4
|11/8
| 11/8
|16/11
| 16/11
|↓P5
| ↓P5
|12
| 12
|-
|-
|11
| 11
|↓A4
| ↓A4
| colspan="2" |7/5, 10/7
| colspan="2" | 7/5, 10/7
|↑d5
| ↑d5
|11
| 11
|}
|}


== 24edo ==
=== 24edo ===
sharpness = 2
sharpness = 2
L = 4 ; s = 2
L = 4 ; s = 2
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
24d
24d
!Degree
! Degree
!Notation
! Notation
!Approximate Ratios
! Approximate Ratios
!Approximate Ratios
! Approximate Ratios
!Notation
! Notation
!Degree
! Degree
|-
|-
|0
| 0
|P1
| P1
|1/1
| 1/1
|2/1
| 2/1
|P8
| P8
|24
| 24
|-
|-
|1
| 1
|↑P1, ↓m2
| ↑P1, ↓m2
|
|  
|
|  
|↑M7, ↓P8
| ↑M7, ↓P8
|23
| 23
|-
|-
|2
| 2
|m2
| m2
|
|  
|
|  
|M7
| M7
|22
| 22
|-
|-
|3
| 3
|~2
| ~2
|12/11
| 12/11
|11/6
| 11/6
|~7
| ~7
|21
| 21
|-
|-
|4
| 4
|M2
| M2
|10/9, 9/8
| 10/9, 9/8
|16/9, 9/5
| 16/9, 9/5
|m7
| m7
|20
| 20
|-
|-
|5
| 5
|↑M2, ↓m3
| ↑M2, ↓m3
|15/13
| 15/13
|26/15
| 26/15
|↑M6, ↓m7
| ↑M6, ↓m7
|19
| 19
|-
|-
|6
| 6
|m3
| m3
|6/5
| 6/5
|5/3
| 5/3
|M6
| M6
|18
| 18
|-
|-
|7
| 7
|~3
| ~3
|11/9
| 11/9
|18/11
| 18/11
|~6
| ~6
|17
| 17
|-
|-
|8
| 8
|M3
| M3
|5/4
| 5/4
|8/5
| 8/5
|m6
| m6
|16
| 16
|-
|-
|9
| 9
|↑M3, ↓P4
| ↑M3, ↓P4
|13/10
| 13/10
|20/13
| 20/13
|↑P5, ↓m6
| ↑P5, ↓m6
|15
| 15
|-
|-
|10
| 10
|P4
| P4
|4/3
| 4/3
|3/2
| 3/2
|P5
| P5
|14
| 14
|-
|-
|11
| 11
|~4
| ~4
|11/8
| 11/8
|16/11
| 16/11
|~5
| ~5
|13
| 13
|-
|-
|12
| 12
|A4
| A4
| colspan="2" |7/5, 10/7
| colspan="2" | 7/5, 10/7
|d5
| d5
|12
| 12
|}
|}


== 27edo ==
=== 27edo ===
sharpness = 4
sharpness = 4
L = 5 ; s = 1
L = 5 ; s = 1
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
27e
27e
!Degree
! Degree
!Notation
! Notation
!Approximate Ratios
! Approximate Ratios
!Approximate Ratios
! Approximate Ratios
!Notation
! Notation
!Degree
! Degree
|-
|-
|0
| 0
|P1
| P1
|1/1
| 1/1
|2/1
| 2/1
|P8
| P8
|27
| 27
|-
|-
|1
| 1
|m2
| m2
|
|  
|
|  
|M7
| M7
|26
| 26
|-
|-
|2
| 2
|↑m2
| ↑m2
|
|  
|
|  
|↓M7
| ↓M7
|25
| 25
|-
|-
|3
| 3
|~2
| ~2
|14/13, 13/12
| 14/13, 13/12
|24/13, 13/7
| 24/13, 13/7
|~7
| ~7
|24
| 24
|-
|-
|4
| 4
|↓M2
| ↓M2
|10/9
| 10/9
|9/5
| 9/5
|↑m7
| ↑m7
|23
| 23
|-
|-
|5
| 5
|M2
| M2
|9/8, 8/7
| 9/8, 8/7
|7/4, 16/9
| 7/4, 16/9
|m7
| m7
|22
| 22
|-
|-
|6
| 6
|m3
| m3
|7/6
| 7/6
|12/7
| 12/7
|M6
| M6
|21
| 21
|-
|-
|7
| 7
|↑m3
| ↑m3
|6/5
| 6/5
|5/3
| 5/3
|↓M6
| ↓M6
|20
| 20
|-
|-
|8
| 8
|~3
| ~3
|16/13
| 16/13
|13/8
| 13/8
|~6
| ~6
|19
| 19
|-
|-
|9
| 9
|↓M3
| ↓M3
|5/4
| 5/4
|8/5
| 8/5
|↑m6
| ↑m6
|18
| 18
|-
|-
|10
| 10
|M3
| M3
|9/7, 13/10
| 9/7, 13/10
|20/13, 14/9
| 20/13, 14/9
|m6
| m6
|17
| 17
|-
|-
|11
| 11
|P4
| P4
|4/3
| 4/3
|3/2
| 3/2
|P5
| P5
|16
| 16
|-
|-
|12
| 12
|↑P4
| ↑P4
|15/11
| 15/11
|22/15
| 22/15
|↓P5
| ↓P5
|15
| 15
|-
|-
|13
| 13
|~4
| ~4
|7/5
| 7/5
|10/7
| 10/7
|~5
| ~5
|14
| 14
|}
|}


 
=== 31edo ===
== 31edo ==
sharpness = 2
sharpness = 2
L = 5 ; s = 3
L = 5 ; s = 3
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
! Degree
!Degree
! Notation
!Notation
! Approximate Ratios
!Approximate Ratios
! Approximate Ratios
!Approximate Ratios
! Notation
!Notation
! Degree
!Degree
|-
|-
|0
| 0
|
| P1
|
| 1/1
|
| 2/1
|
| P8
|31
| 31
|-
|-
|1
| 1
|
| ↑P1
|
|  
|
|  
|
| ↓P8
|30
| 30
|-
|-
|2
| 2
|
| ↓m2
|
|  
|
|  
|
| ↑M7
|29
| 29
|-
|-
|3
| 3
|
| m2
|
| 16/15, 15/14
|
| 28/15, 15/8
|
| M7
|28
| 28
|-
|-
|4
| 4
|
| ~2
|
| 12/11, 11/10
|
| 20/11, 11/6
|
| ~7
|27
| 27
|-
|-
|5
| 5
|
| M2
|
| 10/9, 9/8
|
| 16/9, 9/5
|
| m7
|26
| 26
|-
|-
|6
| 6
|
| ↑M2
|
| 8/7
|
| 7/4
|
| ↓m7
|25
| 25
|-
|-
|7
| 7
|
| ↓m3
|
| 7/6
|
| 12/7
|
| ↑M6
|24
| 24
|-
|-
|8
| 8
|
| m3
|
| 6/5
|
| 5/3
|
| M6
|23
| 23
|-
|-
|9
| 9
|
| ~3
|
| 11/9
|
| 18/11
|
| ~6
|22
| 22
|-
|-
|10
| 10
|
| M3
|
| 5/4
|
| 8/5
|
| m6
|21
| 21
|-
|-
|11
| 11
|
| ↑M3
|
| 14/11, 9/7
|
| 14/9, 11/7
|
| ↓m6
|20
| 20
|-
|-
|12
| 12
|
| ↓P4
|
| 17/13
|
| 26/17
|
| ↑P5
|19
| 19
|-
|-
|13
| 13
|
| P4
|
| 4/3
|
| 3/2
|
| P5
|18
| 18
|-
|-
|14
| 14
|
| ~4
|
| 15/11, 11/8
|
| 16/11, 22/15
|
| ~5
|17
| 17
|-
|-
|15
| 15
|
| A4
|
| 7/5
|
| 10/7
|
| d5
|16
| 16
|}
|}


== 34edo ==
=== 34edo ===
 
=== 41edo ===
== 36edo ==
=== 46edo ===
=== 50edo ===
=== 53edo ===
=== 58edo ===
=== 60edo ===
=== 65edo ===
=== 68edo ===
=== 72edo ===
=== 77edo ===
=== 80edo ===
=== 84edo ===
=== 87edo ===
=== 94edo ===
=== 99edo ===
=== 111edo ===
=== 118edo ===
=== 130edo ===
== EDOs from 9 to 17 ==
=== 9edo ===
=== 10edo ===
=== 11edo ===
=== 13edo ===
=== 14edo ===
=== 15edo ===
=== 16edo ===
=== 17edo ===
== Other noteworthy EDOs ==
=== 23edo ===
=== 26edo ===
=== 29edo ===
=== 36edo ===
sharpness = 3
sharpness = 3
L = 6 ; s = 3
L = 6 ; s = 3
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
! Degree
!Degree
! Notation
!Notation
! Approximate Ratios
!Approximate Ratios
! Approximate Ratios
!Approximate Ratios
! Notation
!Notation
! Degree
!Degree
|-
|-
|0
| 0
|P1
| P1
|1/1
| 1/1
|2/1
| 2/1
|P8
| P8
|36
| 36
|-
|-
|1
| 1
|↑P1
| ↑P1
|
|  
|
|  
|↓P8
| ↓P8
|35
| 35
|-
|-
|2
| 2
|↓m2
| ↓m2
|
|  
|
|  
|↑M7
| ↑M7
|34
| 34
|-
|-
|3
| 3
|m2
| m2
|ϕ<sup>3</sup>/4
| ϕ<sup>3</sup>/4
|8/ϕ<sup>3</sup>
| 8/ϕ<sup>3</sup>
|M7
| M7
|33
| 33
|-
|-
|4
| 4
|↑m2
| ↑m2
|14/13, 13/12
| 14/13, 13/12
|24/13, 13/7
| 24/13, 13/7
|↓M7
| ↓M7
|32
| 32
|-
|-
|5
| 5
|↓M2
| ↓M2
|11/10
| 11/10
|20/11
| 20/11
|↑m7
| ↑m7
|31
| 31
|-
|-
|6
| 6
|M2
| M2
|9/8
| 9/8
|16/9
| 16/9
|m7
| m7
|30
| 30
|-
|-
|7
| 7
|↑M2
| ↑M2
|8/7
| 8/7
|7/4
| 7/4
|↓m7
| ↓m7
|29
| 29
|-
|-
|8
| 8
|↓m3
| ↓m3
|7/6
| 7/6
|12/7
| 12/7
|↑M6
| ↑M6
|28
| 28
|-
|-
|9
| 9
|m3
| m3
|6/5
| 6/5
|5/3
| 5/3
|M6
| M6
|27
| 27
|-
|-
|10
| 10
|↑m3
| ↑m3
|17/14
| 17/14
|28/17
| 28/17
|↓M6
| ↓M6
|26
| 26
|-
|-
|11
| 11
|↓M3
| ↓M3
|2/ϕ
| 2/ϕ
|ϕ
| ϕ
|↑m6
| ↑m6
|25
| 25
|-
|-
|12
| 12
|M3
| M3
|5/4
| 5/4
|8/5
| 8/5
|m6
| m6
|24
| 24
|-
|-
|13
| 13
|↑M3
| ↑M3
|9/7
| 9/7
|14/9
| 14/9
|↓m6
| ↓m6
|23
| 23
|-
|-
|14
| 14
|↓P4
| ↓P4
|ϕ<sup>2</sup>/2
| ϕ<sup>2</sup>/2
|4/ϕ<sup>2</sup>
| 4/ϕ<sup>2</sup>
|↑P5
| ↑P5
|22
| 22
|-
|-
|15
| 15
|P4
| P4
|4/3
| 4/3
|3/2
| 3/2
|P5
| P5
|21
| 21
|-
|-
|16
| 16
|↑P4
| ↑P4
|15/11
| 15/11
|22/15
| 22/15
|↓P5
| ↓P5
|20
| 20
|-
|-
|17
| 17
|↓A4
| ↓A4
|18/13
| 18/13
|13/9
| 13/9
|↑d5
| ↑d5
|19
| 19
|-
|-
|18
| 18
|A4
| A4
| colspan="2" |24/17, 17/12
| colspan="2" | 24/17, 17/12
|d5
| d5
|18
| 18
|}
|}


== 41edo ==
=== 37edo ===
 
=== 49edo ===
== 46edo ==
=== 93edo ===
 
= 4 exceptions outside the 9-cents-minimum-limit =
== 50edo ==
== 7-limit ==
 
=== 171edo ===
== 53edo ==
== 15-limit ==
 
=== 270edo ===
== 58edo ==
== Harmonic series ==
 
=== 311edo ===
== 60edo ==
== 31-limit ==
 
=== 16808edo ===
== 65edo ==
 
== 68edo ==
 
== 72edo ==
 
== 77edo ==
 
== 80edo ==
 
== 84edo ==
 
== 87edo ==
 
== 94edo ==
 
== 99edo ==
 
== 103edo ==
 
== 111edo ==
 
== 118edo ==
 
== 130edo ==
 
== 140edo ==
 
== 152edo ==
 
== 171edo ==
 
= EDOs from 9 to 17 =
 
== 9edo ==
 
== 10edo ==
 
== 11edo ==
 
== 13edo ==
 
== 14edo ==
 
== 15edo ==
 
== 16edo ==
 
== 17edo ==
 
= Other noteworthy EDOs =
 
== 23edo ==
 
== 26edo ==
 
== 29edo ==
 
== 37edo ==
 
== 93edo ==
 
= Meme EDOs =
 
== 270edo ==
 
== 311edo ==

Latest revision as of 15:10, 13 August 2024

9-cents-minimum-limit

EDOs with a strong local zeta peak

12edo

sharpness = 1 L = 2 ; s = 1

Degree Notation Approximate Ratios Approximate Ratios Notation Degree
0 P1 1/1 2/1 P8 12
1 m2 M7 11
2 M2 10/9, 9/8 16/9, 9/5 m7 10
3 m3 6/5 5/3 M6 9
4 M3 5/4 8/5 m6 8
5 P4 4/3 3/2 P5 7
6 A4 7/5, 10/7 d5 6

19edo

sharpness = 1 L = 3 ; s = 2

Degree Notation Approximate Ratios Approximate Ratios Notation Degree
0 P1 1/1 2/1 P8 19
1 A1, d2 A7, d8 18
2 m2 14/13 13/7 M7 17
3 M2 10/9, 9/8 16/9, 9/5 m7 16
4 A2, d3 15/13 26/15 A6, d7 15
5 m3 6/5 5/3 M6 14
6 M3 5/4 8/5 m6 13
7 A3, d4 9/7, 13/10 20/13, 14/9 A5, d6 12
8 P4 4/3 3/2 P5 11
9 A4 18/13 13/9 d5 10

22edo

sharpness = 3 L = 4 ; s = 1

Degree Notation Approximate Ratios Approximate Ratios Notation Degree
0 P1 1/1 2/1 P8 22
1 m2 M7 21
2 ↑m2 16/15 15/8 ↓M7 20
3 ↓M2 11/10 20/11 ↑m7 19
4 M2 9/8, 8/7 7/4, 16/9 m7 18
5 m3 7/6 12/7 M6 17
6 ↑m3 6/5 5/3 ↓M6 16
7 ↓M3 5/4 8/5 ↑m6 15
8 M3 9/7 14/9 m6 14
9 P4 4/3 3/2 P5 13
10 ↑P4 11/8 16/11 ↓P5 12
11 ↓A4 7/5, 10/7 ↑d5 11

24edo

sharpness = 2 L = 4 ; s = 2

24d
Degree Notation Approximate Ratios Approximate Ratios Notation Degree
0 P1 1/1 2/1 P8 24
1 ↑P1, ↓m2 ↑M7, ↓P8 23
2 m2 M7 22
3 ~2 12/11 11/6 ~7 21
4 M2 10/9, 9/8 16/9, 9/5 m7 20
5 ↑M2, ↓m3 15/13 26/15 ↑M6, ↓m7 19
6 m3 6/5 5/3 M6 18
7 ~3 11/9 18/11 ~6 17
8 M3 5/4 8/5 m6 16
9 ↑M3, ↓P4 13/10 20/13 ↑P5, ↓m6 15
10 P4 4/3 3/2 P5 14
11 ~4 11/8 16/11 ~5 13
12 A4 7/5, 10/7 d5 12

27edo

sharpness = 4 L = 5 ; s = 1

27e
Degree Notation Approximate Ratios Approximate Ratios Notation Degree
0 P1 1/1 2/1 P8 27
1 m2 M7 26
2 ↑m2 ↓M7 25
3 ~2 14/13, 13/12 24/13, 13/7 ~7 24
4 ↓M2 10/9 9/5 ↑m7 23
5 M2 9/8, 8/7 7/4, 16/9 m7 22
6 m3 7/6 12/7 M6 21
7 ↑m3 6/5 5/3 ↓M6 20
8 ~3 16/13 13/8 ~6 19
9 ↓M3 5/4 8/5 ↑m6 18
10 M3 9/7, 13/10 20/13, 14/9 m6 17
11 P4 4/3 3/2 P5 16
12 ↑P4 15/11 22/15 ↓P5 15
13 ~4 7/5 10/7 ~5 14

31edo

sharpness = 2 L = 5 ; s = 3

Degree Notation Approximate Ratios Approximate Ratios Notation Degree
0 P1 1/1 2/1 P8 31
1 ↑P1 ↓P8 30
2 ↓m2 ↑M7 29
3 m2 16/15, 15/14 28/15, 15/8 M7 28
4 ~2 12/11, 11/10 20/11, 11/6 ~7 27
5 M2 10/9, 9/8 16/9, 9/5 m7 26
6 ↑M2 8/7 7/4 ↓m7 25
7 ↓m3 7/6 12/7 ↑M6 24
8 m3 6/5 5/3 M6 23
9 ~3 11/9 18/11 ~6 22
10 M3 5/4 8/5 m6 21
11 ↑M3 14/11, 9/7 14/9, 11/7 ↓m6 20
12 ↓P4 17/13 26/17 ↑P5 19
13 P4 4/3 3/2 P5 18
14 ~4 15/11, 11/8 16/11, 22/15 ~5 17
15 A4 7/5 10/7 d5 16

34edo

41edo

46edo

50edo

53edo

58edo

60edo

65edo

68edo

72edo

77edo

80edo

84edo

87edo

94edo

99edo

111edo

118edo

130edo

EDOs from 9 to 17

9edo

10edo

11edo

13edo

14edo

15edo

16edo

17edo

Other noteworthy EDOs

23edo

26edo

29edo

36edo

sharpness = 3 L = 6 ; s = 3

Degree Notation Approximate Ratios Approximate Ratios Notation Degree
0 P1 1/1 2/1 P8 36
1 ↑P1 ↓P8 35
2 ↓m2 ↑M7 34
3 m2 ϕ3/4 8/ϕ3 M7 33
4 ↑m2 14/13, 13/12 24/13, 13/7 ↓M7 32
5 ↓M2 11/10 20/11 ↑m7 31
6 M2 9/8 16/9 m7 30
7 ↑M2 8/7 7/4 ↓m7 29
8 ↓m3 7/6 12/7 ↑M6 28
9 m3 6/5 5/3 M6 27
10 ↑m3 17/14 28/17 ↓M6 26
11 ↓M3 2/ϕ ϕ ↑m6 25
12 M3 5/4 8/5 m6 24
13 ↑M3 9/7 14/9 ↓m6 23
14 ↓P4 ϕ2/2 4/ϕ2 ↑P5 22
15 P4 4/3 3/2 P5 21
16 ↑P4 15/11 22/15 ↓P5 20
17 ↓A4 18/13 13/9 ↑d5 19
18 A4 24/17, 17/12 d5 18

37edo

49edo

93edo

4 exceptions outside the 9-cents-minimum-limit

7-limit

171edo

15-limit

270edo

Harmonic series

311edo

31-limit

16808edo

Retrieved from "https://en.xen.wiki/index.php?title=User:Contribution/Basic_analysis_of_selected_EDOs&oldid=150632"