Gallery of 3-SN scales: Difference between revisions

Lhearne (talk | contribs)
Lhearne (talk | contribs)
Line 4,687: Line 4,687:
|Porcupine[8]
|Porcupine[8]
|250/243
|250/243
|-
|M = s
|LsLsLsLs
|Diminished[8]
|648/625
|-
|L - M = M - s
|LsLsLsLd
|Sensipent[8] MODMOS
|78732/78125
|}
{| class="wikitable"
|+Rank-1 temperings
!ET
|12
|15
|19
|22
|26
|27
|29
|31
|34
|41
|46
|53
|65
|-
!Step sizes in ET
|(2, 1, 1)
|(2, 2, 1)
|(3, 2, 1)
|(3, 3, 1)
|(4, 3, 1)
|(4, 3, 2)
|(4, 4, 1)
|(5, 3, 2)
|(5, 4, 2)
|(6, 5, 2)
|(7, 5, 3)
|(8, 6, 3)
|(10, 7, 4)
|}
===== ((2/1, 6/5)[4], 10/9: 875/864)[8] Supermagic =====
{| class="wikitable"
!Step signature
!Steps in JI
!Step sizes in cents
|-
|4L 3M 1s
|10/9, 27/25, 25/24
|(182.4037c, 133.2376c, 70.6724c)
|}
{| class="wikitable"
|+
!Mode number
!Mode in JI (height order)
!Step pattern
!Porcupine[8]
step pattern and UDP
!Diminished[8]
step pattern and UDP
|-
|4
|10/9 6/5 4/3 36/25 8/5 216/125 48/25 2/1
|LMLMLMLs
|<nowiki>LLLLLLLs 7|0</nowiki>
|<nowiki>LsLsLsLs 1|0 (4)</nowiki>
|-
|3
|10/9 6/5 4/3 36/25 8/5 5/3 50/27 2/1
|LMLMLsLM
|<nowiki>LLLLLsLL 5|2</nowiki>
|<nowiki>LsLsLsLs 1|0 (4)</nowiki>
|-
|2
|27/25 6/5 162/125 36/25 972/625 216/125 9/5 2/1
|MLMLMLsL
|<nowiki>LLLLLLsL 6|1</nowiki>
|<nowiki>sLsLsLsL 0|1 (4)</nowiki>
|-
|1
|10/9 6/5 4/3 25/18 125/81 5/3 50/27 2/1
|LMLsLMLM
|<nowiki>LLLsLLLL 3|4</nowiki>
|<nowiki>LsLsLsLs 1|0 (4)</nowiki>
|-
| -1
|27/25 6/5 162/125 36/25 3/2 5/3 9/5 2/1
|MLMLsLML
|<nowiki>LLLLsLLL 4|3</nowiki>
|<nowiki>sLsLsLsL 0|1 (4)</nowiki>
|-
| -2
|10/9 125/108 625/486 25/18 125/81 5/3 50/27 2/1
|LsLMLMLM
|<nowiki>LsLLLLLL 1|6</nowiki>
|<nowiki>LsLsLsLs 1|0 (4)</nowiki>
|-
| -3
|27/25 6/5 5/4 25/18 3/2 5/3 9/5 2/1
|MLsLMLML
|<nowiki>LLsLLLLL 2|5</nowiki>
|<nowiki>sLsLsLsL 0|1 (4)</nowiki>
|-
| -4
|25/24 125/108 5/4 25/18 3/2 5/3 9/5 2/1
|sLMLMLML
|<nowiki>sLLLLLLL 0|7</nowiki>
|<nowiki>sLsLsLsL 0|1 (4)</nowiki>
|}
{| class="wikitable"
|+Rank-2 temperings (mode 4)
!Equivalence
!Step pattern
!Scale
!Comma list
|-
|s = 0
|LsLsLsL
|Dicot[7]
|25/24, 15/14
|-
|L = M
|LLLLLLLs
|Porcupine[8]
|250/243, 64/63
|-
|-
|M = s
|M = s