Xenharmonic Wiki

Gallery of 3-SN scales: Difference between revisions

← Older edit
VisualWikitext
Lhearne (talk | contribs)
autopatrolled, emailconfirmed
1,636 edits
m Update the linking
 
(6 intermediate revisions by one other user not shown)
Line 2,134: Line 2,134:
|.0745
|.0745
|}
|}
{| class="wikitable"
{| class="wikitable"
|+Rank-2 temperings (mode 1)
|+Rank-2 temperings (mode 1)
!Equivalence
! Equivalence
!Step pattern
! Step pattern
!Scale
! Scale
!Comma list
! Comma list
|-
|-
|m = s
| m = s
|[[OTC 2L 8s|ssLsssLsss]]
| [[OTC 2L 8s|ssLsssLsss]]
|[[Srutal]][10] 4M (pentachordal decatonic)
| [[Diaschismic]][10] 4M (pentachordal decatonic)
|2048/2025
| 2048/2025
|-
|-
|L = m
| L = m
|[[7L 3s|sLLLsLLLsL]]
| [[7L 3s|sLLLsLLLsL]]
|[[Dicot family|Dicot]][10] MODMOS
| [[Dicot]][10] modmos
|25/24
| 25/24
|-
|-
|L = s
| L = s
|[[5L 5s|LsLsLsLsLs]]
| [[5L 5s|LsLsLsLsLs]]
|[[Limmic temperaments#5-limit .28blackwood.29|Blackwood]][10]
| [[Blackwood]][10]
|256/243
| 256/243
|-
|-
|L - m = m - s
| L - m = m - s
|sLALsLALsL
| sLALsLALsL
|[[Marvel temperaments#Negri|Negri]][10] MODMOS
| [[Negri]][10] modmos
|16875/16384
| 16875/16384
|-
|-
|s = 0
| s = 0
|[[2L 5s|sLssLss]]
| [[2L 5s|sLssLss]]
|[[Mavila]][7]
| [[Mavila]][7]
|135/128
| 135/128
|-
|-
|m = 0
| m = 0
|[[2L 3s|sLsLs]]
| [[2L 3s|sLsLs]]
|[[Trienstonic clan#Father|Father]][5]
| [[Father]][5]
|16/15
| 16/15
|}
|}
=====[[SNS ((2/1, 3/2)-5, 16/15: 225/224)-10|((2/1, 3/2)[5], 16/15: 225/224)[10] (Marvel)]]=====
=====[[SNS ((2/1, 3/2)-5, 16/15: 225/224)-10|((2/1, 3/2)[5], 16/15: 225/224)[10] (Marvel)]]=====
{| class="wikitable"
{| class="wikitable"
Line 5,226: Line 5,228:


===== (2/1, 6/5)[4], 10/9: 875/864)[15] Supermagic =====
===== (2/1, 6/5)[4], 10/9: 875/864)[15] Supermagic =====
4L 3m 8s = (16/15, 648/625~21/20, 25/24~36/35) ⟨117.76158, 85.69464, 59.11533]
4L 3m 8s = (16/15, 648/625~21/20, 25/24~36/35)


~ 25/24 10/9 8/7 6/5 5/4 4/3 25/18 35/24 3/2 8/5 5/3 7/4 9/5 48/25 2/1 as mLmsmLmsmLmsmLm
~ 25/24 10/9 8/7 6/5 5/4 4/3 25/18 35/24 3/2 8/5 5/3 7/4 9/5 48/25 2/1 as sLsmsLsmsLsmsLs


15-ET: (1,1,1); 19-ET: (2, 1, 1); 22-ET: (2, 2, 1); 26-ET: (3, 2, 1); 34-ET: (3, 2, 2); 37-ET: (3, 3, 2); 41-ET: (4, 3, 2); 60-ET: (6, 4, 3)
15-ET: (1,1,1); 19-ET: (2, 1, 1); 22-ET: (2, 2, 1); 26-ET: (3, 2, 1); 34-ET: (3, 2, 2); 37-ET: (3, 3, 2); 41-ET: (4, 3, 2); 60-ET: (6, 4, 3)


===== (2/1, 6/5)[4], 10/9: 100/99, 385/384)[15] Supermagic =====
===== (2/1, 6/5)[4], 10/9: 100/99, 385/384)[15] Supermagic =====
4L 3m 8s = (16/15, 648/625~21/20~128/121, 25/24~36/35~33/32) ⟨114.26140, 90.63601, 58.87991]
4L 3m 8s = (16/15, 648/625~21/20~128/121, 25/24~36/35~33/32)


~ 25/24 10/9 8/7 6/5 5/4 4/3 11/8 16/11 3/2 8/5 5/3 7/4 9/5 48/25 2/1 as sLsmsLsmsLsmsLs
~ 25/24 10/9 8/7 6/5 5/4 4/3 11/8 16/11 3/2 8/5 5/3 7/4 9/5 48/25 2/1 as sLsmsLsmsLsmsLs
Line 5,240: Line 5,242:


===== (2/1, 6/5)[4], 10/9: 100/99, 105/104, 144/143)[15] Supermagic =====
===== (2/1, 6/5)[4], 10/9: 100/99, 105/104, 144/143)[15] Supermagic =====
4L 3m 8s = (16/15, 648/625~21/20~128/121~26/25, 25/24~36/35~33/32~27/26) ⟨117.92996, 87.07813, 58.39270]
4L 3m 8s = (16/15, 648/625~21/20~128/121~26/25, 25/24~36/35~33/32~27/26)


~ 25/24 10/9 8/7 6/5 5/4 4/3 11/8 13/9 3/2 8/5 5/3 7/4 9/5 48/25 2/1 as sLsmsLsmsLsmsLs
~ 25/24 10/9 8/7 6/5 5/4 4/3 11/8 13/9 3/2 8/5 5/3 7/4 9/5 48/25 2/1 as sLsmsLsmsLsmsLs
Line 5,247: Line 5,249:


===== (2/1, 6/5)[4], 10/9: 325/324)[15] (2.3.5.13 Marveltwin) =====
===== (2/1, 6/5)[4], 10/9: 325/324)[15] (2.3.5.13 Marveltwin) =====
4L 3m 8s = (16/15, 648/625~26/25, 25/24~27/26) = (112.3178, 68.5631, 68.1467) ⟨112.31778, 68.56313, 68.14672]
4L 3m 8s = (16/15, 648/625~26/25, 25/24~27/26) = (112.3178, 68.5631, 68.1467)


~ 25/24 10/9 15/13 6/5 5/4 4/3 18/13 13/9 3/2 8/5 5/3 26/15 9/5 48/25 2/1 as sLsmsLsmsLsmsLs
~ 25/24 10/9 15/13 6/5 5/4 4/3 18/13 13/9 3/2 8/5 5/3 26/15 9/5 48/25 2/1 as sLsmsLsmsLsmsLs
Line 5,254: Line 5,256:


===== (2/1, 6/5)[4], 10/9: 105/104, 325/324)[15] 2.3.5.7.13 Supermagic =====
===== (2/1, 6/5)[4], 10/9: 105/104, 325/324)[15] 2.3.5.7.13 Supermagic =====
4L 3m 8s = (16/15, 648/625~21/20~26/25, 25/24~36/35~27/26) = (121.6150, 81.3115, 58.8960) ⟨121.61501, 81.31151, 58.89600]
4L 3m 8s = (16/15, 648/625~21/20~26/25, 25/24~36/35~27/26) = (121.6150, 81.3115, 58.8960)


~ 25/24 10/9 8/7 6/5 5/4 4/3 18/13 13/9 3/2 8/5 5/3 7/4 9/5 48/25 2/1 as sLsmsLsmsLsmsLs
~ 25/24 10/9 8/7 6/5 5/4 4/3 18/13 13/9 3/2 8/5 5/3 7/4 9/5 48/25 2/1 as sLsmsLsmsLsmsLs
Line 5,716: Line 5,718:
14c-ET: (3, 1, 1); 17-ET: (4, 2, 1); 19-ET: (5, 2, 1); 22-ET: (6, 3, 1) 24-ET: (7, 3, 1); 27-ET: (8, 4, 1); 41-ET: (11, 5, 2); 46-ET: (13, 6, 2); 68-ET: (19, 9, 3); 87-ET: (24,11,4)
14c-ET: (3, 1, 1); 17-ET: (4, 2, 1); 19-ET: (5, 2, 1); 22-ET: (6, 3, 1) 24-ET: (7, 3, 1); 27-ET: (8, 4, 1); 41-ET: (11, 5, 2); 46-ET: (13, 6, 2); 68-ET: (19, 9, 3); 87-ET: (24,11,4)


==== (2/1, 3/2, 9/7: 245/243, 385/384)[10] Sensamagic ====
===== (2/1, 3/2, 9/7: 245/243, 385/384)[10] Sensamagic =====
2L 1m 7s = (~135/112, ~35/32, 28/27~36/35~33/32)
2L 1m 7s = (~135/112, ~35/32, 28/27~36/35~33/32)


Line 5,734: Line 5,736:
14c-ET: (2, 0, 1); 17-ET: (3, 1, 1); 19-ET: (4, 1, 1); 22-ET: (5, 2, 1) 24-ET: (6, 2, 1); 27-ET: (7, 3, 1); 41-ET: (9, 3, 2); 46-ET: (11, 4, 2); 68-ET: (16, 6, 3); 87-ET: (20, 7,4)
14c-ET: (2, 0, 1); 17-ET: (3, 1, 1); 19-ET: (4, 1, 1); 22-ET: (5, 2, 1) 24-ET: (6, 2, 1); 27-ET: (7, 3, 1); 41-ET: (9, 3, 2); 46-ET: (11, 4, 2); 68-ET: (16, 6, 3); 87-ET: (20, 7,4)


==== (2/1, 3/2, 9/7: 245/243, 385/384)[13] Sensamagic ====
===== (2/1, 3/2, 9/7: 245/243, 385/384)[13] Sensamagic =====
2L 1m 10s = (~75/64, 135/128~35/33, 28/27~36/35~33/32)
2L 1m 10s = (~75/64, 135/128~35/33, 28/27~36/35~33/32)


Line 5,788: Line 5,790:
17-ET: (3, 1, 1); 19-ET: (4, 1, 1); 22f-ET: (5, 2, 1) 24-ET: (6, 2, 1); 36-ET: (7, 2, 2); 41-ET: (9, 3, 2); 53-ET: (10, 3, 3); 58-ET: (12, 4, 3); 77-ET: (16, 5, 4); 94-ET: (19, 6, 5)
17-ET: (3, 1, 1); 19-ET: (4, 1, 1); 22f-ET: (5, 2, 1) 24-ET: (6, 2, 1); 36-ET: (7, 2, 2); 41-ET: (9, 3, 2); 53-ET: (10, 3, 3); 58-ET: (12, 4, 3); 77-ET: (16, 5, 4); 94-ET: (19, 6, 5)


==== (2/1, 3/2, 9/7: 351/350, 676/675)[13] ====
===== (2/1, 3/2, 9/7: 351/350, 676/675)[13] =====
2L 1m 10s = (~169/147, ~117/112, 28/27~27/26~26/25)
2L 1m 10s = (~169/147, ~117/112, 28/27~27/26~26/25)


Line 5,814: Line 5,816:


53-ET: (7, 3, 0); 58-ET: (8, 2, 1); 77-ET: (11, 3, 1); 111-ET: (15, 5, 1); 130-ET: (18, 6, 1)
53-ET: (7, 3, 0); 58-ET: (8, 2, 1); 77-ET: (11, 3, 1); 111-ET: (15, 5, 1); 130-ET: (18, 6, 1)
== 2.3.11 Pentacircle ==
=== ((2/1, 3/2)[5], 12/11) ===
==== ((2/1, 3/2)[5], 12/11)[10] ====
5L 2M 3s = (12/11, 88/81, 33/32)
12/11 9/8 27/22 4/3 16/11 3/2 18/11 27/16 81/44 2/1 as LsLMLsLsLM
==== ((2/1, 3/2)[5], 12/11: 896/891)[10] ====
5L 2M 3s = (12/11, 88/81, 33/32~28/27)
~  12/11 9/8 27/22 4/3 16/11 3/2 18/11 27/16 81/44 2/1 as LsLMLsLsLM
==== ((2/1, 3/2)[5], 12/11: 896/891)[17] ====
5L 2M 10s = (128/121~81/77, 256/243~22/21, 33/32~28/27)
~ 28/27 12/11 9/8 32/27 11/9 9/7 4/3 11/8 16/11 3/2 14/9 18/11 27/16 16/9 11/6 27/14 2/1 as sLsMsLssLssLsMsLs
== 2.3.13 Squbema ==
=== ((2/1, 3/2)[5], 13/12) ===
==== ((2/1, 3/2)[5], 13/12)[10] ====
5L 2M 3s = (13/12, 128/117, 27/26)
13/12 9/8 39/32 4/3 13/9 3/2 13/8 27/16 117/64 2/1 as LsLMLsLsLM
==== ((2/1, 3/2)[5], 13/12: 729/728)[10] ====
5L 2M 3s = (13/12, 128/117, 27/26~28/27)
~ 13/12 9/8 39/32 4/3 13/9 3/2 13/8 27/16 117/64 2/1 as LsLMLsLsLM
===== ((2/1, 3/2)[5], 13/12: 729/728)[17] =====
5L 2M 10s = (91/81, 256/243~96/91, 27/26~28/27)
~ 28/27 13/12 9/8 32/27 16/13 9/7 4/3 18/13 13/9 3/2 14/9 13/8 27/16 16/9 24/13 27/14 2/1 as sLsMsLssLssLsMsLs
===== ((2/1, 3/2)[5], 12/11~13/12: 144/143, 729/728)[17] =====
5L 2M 10s = (91/81~81/77, 256/243~96/91~22/21, 27/26~28/27~33/32)
~ 28/27 12/11 9/8 32/27 11/9 9/7 4/3 11/8 13/9 3/2 14/9 13/8 27/16 16/9 12/11 27/14 2/1 as sLsMsLssLssLsMsLs


{{Navbox scale gallery}}
{{Navbox scale gallery}}
Retrieved from "https://en.xen.wiki/w/Gallery_of_3-SN_scales"