Xenharmonic Wiki

Gallery of 3-SN scales: Difference between revisions

← Older editNewer edit →
VisualWikitext
Lhearne (talk | contribs)
autopatrolled, emailconfirmed
1,636 edits
Lhearne (talk | contribs)
autopatrolled, emailconfirmed
1,636 edits
m added links in (2/1, 3/2, 5/4) Marvel
Line 58: Line 58:
|-
|-
|L = M
|L = M
|LLLs
|[[3L 1s|LLLs]]
|Dicot[4]
|[[Dicot]][4]
|25/24
|25/24
|-
|-
|M = s
|M = s
|LsLs
|[[2L 2s|LsLs]]
|Antitonic[4]
|Antitonic[4]
|9/8
|9/8
Line 69: Line 69:
|s = 0
|s = 0
|LsL
|LsL
|Father[3]
|[[Father]][3]
|16/15
|16/15
|}
|}
Line 132: Line 132:
|-
|-
|L = M
|L = M
|sLsLsLs
|[[3L 4s|sLsLsLs]]
|Dicot[7]
|[[Dicot]][7]
|25/24
|25/24
|-
|-
|M = s
|M = s
|sLsssLs
|[[2L 5s|sLsssLs]]
|Mavila[7]
|[[Mavila]][7]
|135/128
|135/128
|-
|-
|L = s
|L = s
| LLLsLLL
| [[6L 1s|LLLsLLL]]
|Enipucrop[7]
|[[Enipucrop]][7]
|1125/1024
|1125/1024
|-
|-
| s = 0
| s = 0
|LsL
|LsL
|Father[3]
|[[Father]][3]
|16/15
|16/15
|}
|}


=====[[SNS (2/1, 3/2, 5/4: 225/224)-7|(2/1, 3/2, 5/4: 225/224)[7]]] (Marvel)=====
=====[[SNS (2/1, 3/2, 5/4: 225/224)-7|(2/1, 3/2, 5/4: 225/224)[7]]] ([[Marvel]])=====
{| class="wikitable"
{| class="wikitable"
! Step signature
! Step signature
Line 211: Line 211:
|-
|-
|L = M
|L = M
|sLsLsLs
|[[3L 4s|sLsLsLs]]
|Sharp[7]
|[[Sharp]][7]
|25/24, 28/27
|25/24, 28/27
|-
|-
|M = s
|M = s
|sLsssLs
|[[2L 5s|sLsssLs]]
|Pelogic[7]
|[[Pelogic]][7]
|135/128, 21/20
|135/128, 21/20
|-
|-
|L= s
|L= s
|LLLsLLL
|[[6L 1s|LLLsLLL]]
|Enipucrop[7]
|[[Enipucrop]][7]
| 35/32, 49/45
| 35/32, 49/45
|}
|}
Line 330: Line 330:
|m = s
|m = s
|sLsssssLss
|sLsssssLss
|Srutal[10] MODMOS
|[[Srutal]][10] 4M (pentachordal decatonic)
|2048/2025
|2048/2025
|-
|-
|L = m
|L = m
|LLLLsLLLLL
|[[9L 1s|LLLLsLLLLL]]
|Negri[10]
|[[Negri]][10]
|16875/16384  
|16875/16384  
|-
|-
|L= s
|L= s
|LsLLsLLsLL
|[[7L 3s|LsLLsLLsLL]]
|Dicot[10]
|[[Dicot]][10]
|25/24
|25/24
|-
|-
|s = 0
|s = 0
|sLssssLss
|[[2L 7s|sLssssLss]]
|Mavila[9]
|[[Mavila]][9]
|135/128
|135/128
|-
|-
|m = 0
|m = 0
|LsL
|LsL
|Father[3]
|[[Father]][3]
|16/15
|16/15
|-
|-
|L = 0
|L = 0
|LLLsLLLL
|[[7L 1s|LLLsLLLL]]
|Enipucrop[8]
|[[Enipucrop]][8]
|1125/1024
|1125/1024
|}
|}
=====[[SNS (2/1, 3/2, 5/4: 225/224)-10|(2/1, 3/2, 5/4: 225/224)[10]]] (Marvel)=====
=====[[SNS (2/1, 3/2, 5/4: 225/224)-10|(2/1, 3/2, 5/4: 225/224)[10]]] ([[Marvel]])=====
{| class="wikitable"
{| class="wikitable"
! Step signature
! Step signature
Line 433: Line 433:
|m = s
|m = s
|sLsssssLss
|sLsssssLss
|Pajara[10] MODMOS
|[[Pajara]][10] 4M (pentachordal decatonic)
|50/49, 64/63
|50/49, 64/63
|-
|-
|L = m
|L = m
|LLLLsLLLLL
|[[9L 1s|LLLLsLLLLL]]
|Negri[10]
|[[Negri]][10]
|49/48, 225/224  
|49/48, 225/224  
|-
|-
|L = s
|L = s
|LsLLsLLsLL
|[[7L 3s|LsLLsLLsLL]]
|Sharp[10]
|[[Sharp]][10]
|25/24, 28/27
|25/24, 28/27
|-
|-
|s = 0
|s = 0
|sLssssLss
|[[2L 7s|sLssssLss]]
|Pelogic[9]
|[[Pelogic]][9]
|21/20, 135/128
|21/20, 135/128
|}
|}
Line 475: Line 475:
|(9, 7, 5)
|(9, 7, 5)
|}
|}
=====[[SNS (2/1, 3/2, 5/4: 225/224, 385/384)-10|(2/1, 3/2, 5/4: 225/224, 385/384)[10]]] (11-limit Marvel)=====
=====[[SNS (2/1, 3/2, 5/4: 225/224, 385/384)-10|(2/1, 3/2, 5/4: 225/224, 385/384)[10]]] ([[Marvel]])=====
{| class="wikitable"
{| class="wikitable"
! Step signature
! Step signature
Line 550: Line 550:
|m = s
|m = s
|sLsssssLss
|sLsssssLss
|Pajarous[10] MODMOS
|[[Pajarous]][10] 4M (pentachordal decatonic)
|50/49, 55/54, 64/63
|50/49, 55/54, 64/63
|-
|-
|L = m
|L = m
|LLLLsLLLLL
|[[9L 1s|LLLLsLLLLL]]
|Negri[10]
|[[Negri]][10]
|45/44, 49/48, 56/55  
|45/44, 49/48, 56/55  
|}
|}
Line 578: Line 578:
|(9, 7, 5)
|(9, 7, 5)
|}
|}
=====[[SNS (2/1, 3/2, 5/4: 225/224, 441/440)-10|(2/1, 3/2, 5/4: 225/224, 441/440)[10]]] Prodigy=====
=====[[SNS (2/1, 3/2, 5/4: 225/224, 441/440)-10|(2/1, 3/2, 5/4: 225/224, 441/440)[10]]] ([[Prodigy]])=====
{| class="wikitable"
{| class="wikitable"
! Step signature
! Step signature
Line 653: Line 653:
|m = s
|m = s
|sLsssssLss
|sLsssssLss
|Pajaric[10] MODMOS
|[[Pajaric]][10] 4M (pentachordal decatonic)
|45/44, 50/49, 56/55
|45/44, 50/49, 56/55
|-
|-
|L = m
|L = m
|LLLLsLLLLL
|[[9L 1s|LLLLsLLLLL]]
|Negroni[10]
|[[Negroni]][10]
|49/48, 55/54, 225/224  
|49/48, 55/54, 225/224  
|}
|}
Line 719: Line 719:
|L = M
|L = M
|LsLsLLLsLsLsLLLsLsL
|LsLsLLLsLsLsLLLsLsL
|Meantone[19] MODMOS
|[[Meantone]][19] MODMOS
|81/80, 126/125
|81/80, 126/125
|-
|-
|M = s
|M = s
|LsLsLsLsLsLsLsLsLsL
|[[10L 9s|LsLsLsLsLsLsLsLsLsL]]
|Negri[19]
|[[Negri]][19]
|49/48, 225/224  
|49/48, 225/224  
|-
|-
|s = 0
|s = 0
|LLLsLLLLsLLL
|LLLsLLLLsLLL
|Pajara[12] 4M (Hexachordal Dodecatonic)
|[[Pajara]][12] 4M (hexachordal dodecatonic)
|50/49, 64/63
|50/49, 64/63
|-
|-
|m = 0
|m = 0
|LsLsLLsLsLsLLsLsL
|[[10L 7s|LsLsLLsLsLsLLsLsL]]
|Sharp[17]
|[[Sharp]][17]
|25/24, 28/27
|25/24, 28/27
|}
|}
Line 798: Line 798:
|L = M
|L = M
|LsLsLLLsLsLsLLLsLsL
|LsLsLLLsLsLsLLLsLsL
|Meanpop[19] MODMOS
|[[Meanpop]][19] MODMOS
|81/80, 126/125, 385/384
|81/80, 126/125, 385/384
|-
|-
|M = s
|M = s
|LsLsLsLsLsLsLsLsLsL
|[[10L 9s|LsLsLsLsLsLsLsLsLsL]]
|Negri[19]
|[[Negri]][19]
|45/44, 49/48, 56/55
|45/44, 49/48, 56/55
|-
|-
|s = 0
|s = 0
|LLLsLLLLsLLL
|LLLsLLLLsLLL
|Pajarous[12] 4M (Hexachordal Dodecatonic)
|[[Pajarous]][12] 4M (hexachordal dodecatonic)
|50/49, 55/54, 64/63
|50/49, 55/54, 64/63
|}
|}
Line 814: Line 814:
|+Rank-1 temperings
|+Rank-1 temperings
!ET
!ET
|22
|[[22edo|22]]
|31
|[[31edo|31]]
|41
|[[41edo|41]]
|50
|[[50edo|50]]
|53
|[[53edo|53]]
|72
|[[72edo|72]]
|-
|-
!Step sizes in ET
!Step sizes in ET
Line 830: Line 830:
|}
|}


=====[[SNS (2/1, 3/2, 5/4: 225/224, 441/440)-19|(2/1, 3/2, 5/4: 225/224, 441/440)[19]]] (Prodigy)=====
=====[[SNS (2/1, 3/2, 5/4: 225/224, 441/440)-19|(2/1, 3/2, 5/4: 225/224, 441/440)[19]]] ([[Prodigy]])=====
{| class="wikitable"
{| class="wikitable"
! Step signature
! Step signature
Line 870: Line 870:
|L = M
|L = M
|LsLsLLLsLsLsLLLsLsL
|LsLsLLLsLsLsLLLsLsL
|Meantone[19] MODMOS
|[[Meantone]][19] MODMOS
|81/80, 99/98, 126/125
|81/80, 99/98, 126/125
|-
|-
|M = s
|M = s
|LsLsLsLsLsLsLsLsLsL
|[[10L 9s|LsLsLsLsLsLsLsLsLsL]]
|Negroni[19]
|[[Negroni]][19]
|49/48, 55/54, 225/224  
|49/48, 55/54, 225/224  
|-
|-
|s = 0
|s = 0
|LLLsLLLLsLLL
|LLLsLLLLsLLL
|Pajaric[12] 4M (Hexachordal Dodecatonic)
|[[Pajaric]][12] 4M (hexachordal dodecatonic)
|45/44, 50/49, 56/55
|45/44, 50/49, 56/55
|}
|}
Line 886: Line 886:
|+Rank-1 temperings
|+Rank-1 temperings
!ET
!ET
|29
|[[29edo|29]]
|31
|[[31edo|31]]
|41
|[[41edo|41]]
|53e
|53e
|72
|[[72edo|72]]
|-
|-
!Step sizes in ET
!Step sizes in ET
Line 900: Line 900:
|}
|}


====[[SNS (2/1, 3/2, 5/4: 225/224, 441/440)-31|(2/1, 3/2, 5/4: 225/224, 441/440)[31]]] (Prodigy)====
====[[SNS (2/1, 3/2, 5/4: 225/224, 441/440)-31|(2/1, 3/2, 5/4: 225/224, 441/440)[31]]] ([[Prodigy]])====
10L 19m 2s = (~33/32, 64/63~50/49~45/44~56/55, 49/48~55/54) = (49.1533c, 33.8068c, 33.4621c) TE
10L 19m 2s = (~33/32, 64/63~50/49~45/44~56/55, 49/48~55/54) = (49.1533c, 33.8068c, 33.4621c) TE


Retrieved from "https://en.xen.wiki/w/Gallery_of_3-SN_scales"