1L 6s: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Inthar (talk | contribs)
autopatrolled, emailconfirmed
15,004 edits
No edit summary
Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
4,810 edits
1L 6s has mode names from Porcupine temperament modal harmony, so listed them here
Line 6: Line 6:
| Collapsed = 1
| Collapsed = 1
| Pattern = Lssssss
| Pattern = Lssssss
}}
|Name=onyx}}


'''1L 6s''' or '''antiarcheotonic''' is the MOS pattern Lssssss with small steps ranging from 0\1 (0¢) to 1\7 (one step of [[7edo]] = 171.4¢).
'''1L 6s''' (or '''onyx''') is the MOS pattern Lssssss with small steps ranging from 0\1 (0¢) to 1\7 (one step of [[7edo]] = 171.4¢).


There is one notable low-harmonic-entropy scale with this [[MOS]] pattern: [[porcupine]], in which two generators make a [[6/5]] and three make a [[4/3]].
There is one notable low-harmonic-entropy scale with this [[MOS]] pattern: [[porcupine]], in which two generators make a [[6/5]] and three make a [[4/3]].
Line 15: Line 15:


== Modes ==
== Modes ==
* 6|0 Lssssss
Mode names are from [[Porcupine Temperament Modal Harmony|Porcupine temperament modal harmony]], proposed by William Lynch.
* 5|1 sLsssss
{| class="wikitable"
* 4|2 ssLssss
!Mode
* 3|3 sssLsss
!UDP
* 2|4 ssssLss
!Mode name
* 1|5 sssssLs
|-
* 0|6 ssssssL
|Lssssss
|<nowiki>6|0</nowiki>
|chinchillian
|-
|sLsssss
|<nowiki>5|1</nowiki>
|badgerian
|-
|ssLssss
|<nowiki>4|2</nowiki>
|zebrian
|-
|sssLsss
|<nowiki>3|3</nowiki>
|dingoian
|-
|ssssLss
|<nowiki>2|4</nowiki>
|gazellian
|-
|sssssLs
|<nowiki>1|5</nowiki>
|lemurian
|-
|ssssssL
|<nowiki>0|6</nowiki>
|pandian
|}


== Scale tree ==
== Scale tree ==

Revision as of 08:59, 5 December 2022

↑ 1L 5s 2L 5s ↗
1L 6s 2L 6s →
↓ 1L 7s 2L 7s ↘ 
┌╥┬┬┬┬┬┬┐
│║│││││││
│││││││││
└┴┴┴┴┴┴┴┘
Scale structure
Step pattern Lssssss
ssssssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 6\7 to 1\1 (1028.6 ¢ to 1200.0 ¢)
Dark 0\1 to 1\7 (0.0 ¢ to 171.4 ¢)
TAMNAMS information
Name onyx
Prefix on-
Abbrev. on
Related MOS scales
Parent 1L 5s
Sister 6L 1s
Daughters 7L 1s, 1L 7s
Neutralized 2L 5s
2-Flought 8L 6s, 1L 13s
Equal tunings
Equalized (L:s = 1:1) 6\7 (1028.6 ¢)
Supersoft (L:s = 4:3) 19\22 (1036.4 ¢)
Soft (L:s = 3:2) 13\15 (1040.0 ¢)
Semisoft (L:s = 5:3) 20\23 (1043.5 ¢)
Basic (L:s = 2:1) 7\8 (1050.0 ¢)
Semihard (L:s = 5:2) 15\17 (1058.8 ¢)
Hard (L:s = 3:1) 8\9 (1066.7 ¢)
Superhard (L:s = 4:1) 9\10 (1080.0 ¢)
Collapsed (L:s = 1:0) 1\1 (1200.0 ¢)

1L 6s (or onyx) is the MOS pattern Lssssss with small steps ranging from 0\1 (0¢) to 1\7 (one step of 7edo = 171.4¢).

There is one notable low-harmonic-entropy scale with this MOS pattern: porcupine, in which two generators make a 6/5 and three make a 4/3.

Other scales include very improper (incomplete) versions of negri, 12edo, etc.

Modes

Mode names are from Porcupine temperament modal harmony, proposed by William Lynch.

Mode UDP Mode name
Lssssss 6|0 chinchillian
sLsssss 5|1 badgerian
ssLssss 4|2 zebrian
sssLsss 3|3 dingoian
ssssLss 2|4 gazellian
sssssLs 1|5 lemurian
ssssssL 0|6 pandian

Scale tree

Generator ranges:

  • Chroma-positive generator: 1028.5714 cents (6\7) to 1200 cents (1\1)
  • Chroma-negative generator: 0 cents (0\1) to 171.4286 cents (1\7)
Generator
(Chroma-positive) 		Cents L s L/s Comments
Chroma-positive Chroma-negative
6\7 1028.571 171.429 1 1 1.000
31\36 1033.333 166.667 6 5 1.200
25\29 1034.483 165.517 5 4 1.250
44\51 1035.294 164.706 9 7 1.286
19\22 1036.364 163.636 4 3 1.333
51\59 1037.288 162.712 11 8 1.375 Porcupine/porcupinefish is around here
32\37 1037.838 162.162 7 5 1.400
45\52 1038.462 161.538 10 7 1.429
13\15 1040.000 160.000 3 2 1.500
46\53 1041.509 158.491 11 7 1.571 Hemikleismic
33\38 1042.105 157.895 8 5 1.600
53\61 1042.623 157.377 13 8 1.625 Wilson Golden 1 (1042.4790¢)
20\23 1043.478 156.522 5 3 1.667
47\54 1044.444 155.556 12 7 1.714
27\31 1045.161 154.839 7 4 1.750 Nusecond
34\39 1046.154 153.846 9 5 1.800
7\8 1050.000 150.000 2 1 2.000 Basic antiarcheotonic
(Generators smaller than this are proper)
29\33 1054.545 145.455 9 4 2.250
22\25 1056.000 144.000 7 3 2.333
37\42 1057.143 142.857 12 5 2.400
15\17 1058.824 141.176 5 2 2.500 Progression (incomplete)
38\43 1060.465 139.535 13 5 2.600 Golden jerome (1060.7571¢)
23\26 1061.538 138.462 8 3 2.667
31\35 1062.857 137.143 11 4 2.750
8\9 1066.667 133.333 3 1 3.000
25\28 1071.429 128.571 10 3 3.333
17\19 1073.684 126.316 7 2 3.500 Negri (incomplete)
26\29 1075.862 124.138 11 3 3.667
9\10 1080.000 120.000 4 1 4.000
19\21 1085.714 114.286 9 2 4.500 Miracle (incomplete)
10\11 1090.909 109.091 5 1 5.000
11\12 1100.000 100.000 6 1 6.000 Passion, ripple (incomplete)
1\1 1200.000 0.000 1 0 → inf
Retrieved from "https://en.xen.wiki/index.php?title=1L_6s&oldid=99629"