Xenharmonic Wiki

3L 4s: Difference between revisions

← Older editNewer edit →
VisualWikitext
ArrowHead294 (talk | contribs)
14,512 edits
mNo edit summary
Partial revert to restore data
Tag: Undo
Line 52: Line 52:


The sizes of the generator, large step and small step of mosh are as follows in various ultrasoft mosh tunings.  
The sizes of the generator, large step and small step of mosh are as follows in various ultrasoft mosh tunings.  
{| class="wikitable right-2 right-3 right-4 right-5 right-6 right-7"
{| class="wikitable right-2 right-3 right-4 right-5 right-6 right-7"
|-
|-
Line 69: Line 68:
| [[11/9]]
| [[11/9]]
|-
|-
| L ({{nowrap|4g − octave}})
| L (4g - octave)
| 4\24, 200.00
| 4\24, 200.00
| 5\31, 193.55
| 5\31, 193.55
Line 76: Line 75:
| [[9/8]], [[10/9]]
| [[9/8]], [[10/9]]
|-
|-
| s ({{nowrap|octave − 3g}})
| s (octave - 3g)
| 3\24, 150.00
| 3\24, 150.00
| 4\31, 154.84
| 4\31, 154.84
Line 85: Line 84:


=== Quasisoft ===
=== Quasisoft ===
Quasisoft tunings of mosh have a step ratio between 3/2 and 5/3, implying a generator sharper than {{nowrap|5\17 {{=}} 352.94{{c}}}} and flatter than {{nowrap|8\27 {{=}} 355.56{{c}}}}.
Quasisoft tunings of mosh have a step ratio between 3/2 and 5/3, implying a generator sharper than 5\17 = 352.94¢ and flatter than 8\27 = 355.56¢.


The large step is a sharper major second in these tunings than in ultrasoft tunings. These tunings could be considered "parapyth mosh" or "archy mosh", in analogy to ultrasoft mosh being meantone mosh.
The large step is a sharper major second in these tunings than in ultrasoft tunings. These tunings could be considered "parapyth mosh" or "archy mosh", in analogy to ultrasoft mosh being meantone mosh.
Line 104: Line 103:
| 16/13, 11/9
| 16/13, 11/9
|-
|-
| L ({{nowrap|4g − octave}})
| L (4g - octave)
| 3\17, 211.76
| 3\17, 211.76
| 5\27, 222.22
| 5\27, 222.22
Line 110: Line 109:
| 9/8, 8/7
| 9/8, 8/7
|-
|-
| s ({{nowrap|octave − 3g}})
| s (octave - 3g)
| 2\17, 141.18
| 2\17, 141.18
| 3\27, 133.33
| 3\27, 133.33
Line 125: Line 124:


This range is associated with [[sephiroth]] temperament.
This range is associated with [[sephiroth]] temperament.
{| class="wikitable right-2 right-3 right-4 right-5"
{| class="wikitable right-2 right-3 right-4 right-5"
|-
|-
Line 138: Line 136:
| 7\23, 365.22
| 7\23, 365.22
|-
|-
| L ({{nowrap|4g − octave}})
| L (4g - octave)
| 2\10, 240.00
| 2\10, 240.00
| 3\13, 276.92
| 3\13, 276.92
| 5\23, 260.87
| 5\23, 260.87
|-
|-
| s ({{nowrap|octave − 3g}})
| s (octave - 3g)
| 1\10, 120.00
| 1\10, 120.00
| 1\13, 92.31
| 1\13, 92.31
Line 169: Line 167:
| 5/4
| 5/4
|-
|-
| L ({{nowrap|4g − octave}})
| L (4g - octave)
| 4\16, 300.00
| 4\16, 300.00
| 5\19, 315.79
| 5\19, 315.79
Line 176: Line 174:
| 6/5
| 6/5
|-
|-
| s ({{nowrap|octave − 3g}})
| s (octave - 3g)
| 1\16, 75.00
| 1\16, 75.00
| 1\19, 63.16
| 1\19, 63.16
Line 186: Line 184:
== Scale tree ==
== Scale tree ==
Generator ranges:  
Generator ranges:  
* Chroma-positive generator: 342.8571{{c}} (2\7) to 400{{c}} (1\3)
* Chroma-positive generator: 342.8571 cents (2\7) to 400 cents (1\3)
* Chroma-negative generator: 800{{c}} (2\3) to 857.1429{{c}} (5\7)
* Chroma-negative generator: 800 cents (2\3) to 857.1429 cents (5\7)
{{Scale tree}}
 
{| class="wikitable center-all"
! colspan="6" | Generator
! Cents
! L
! s
! L/s
! Comments
|-
| 2\7 || || || || || || 342.857 || 1 || 1 || 1.000 ||
|-
| || || || || || 11\38 || 347.368 || 6 || 5 || 1.200 || [[Mohaha]] / ptolemy↑
|-
| || || || || 9\31 || || 348.387 || 5 || 4 || 1.250 || Mohaha / migration / [[mohajira]]
|-
| || || || || || 16\55 || 349.091 || 9 || 7 || 1.286 ||
|-
| || || || 7\24 || || || 350.000 || 4 || 3 || 1.333 ||
|-
| || || || || || 19\65 || 350.769 || 11 || 8 || 1.375 || Mohaha / mohamaq
|-
| || || || || 12\41 || || 351.220 || 7 || 5 || 1.400 || Mohaha / [[neutrominant]]
|-
| || || || || || 17\58 || 351.724 || 10 || 7 || 1.429 || [[Hemif]] / [[Hemififths]]
|-
| || || 5\17 || || || || 352.941 || 3 || 2 || 1.500 ||
|-
| || || || || || 18\61 || 354.098 || 11 || 7 || 1.571 || [[Suhajira]]
|-
| || || || || 13\44 || || 354.545 || 8 || 5 || 1.600 ||
|-
| || || || || || 21\71 || 354.930 || 13 || 8 || 1.625 || Golden suhajira (354.8232¢)
|-
| || || || 8\27 || || || 355.556 || 5 || 3 || 1.667 || Suhajira / [[ringo]]
|-
| || || || || || 19\64 || 356.250 || 12 || 7 || 1.714 || [[Beatles]]
|-
| || || || || 11\37 || || 356.757 || 7 || 4 || 1.750 ||
|-
| || || || || || 14\47 || 357.447 || 9 || 5 || 1.800 ||
|-
| || 3\10 || || || || || 360.000 || 2 || 1 || 2.000 || Basic mosh <br>(Generators smaller than this are proper)
|-
| || || || || || 13\43 || 362.791 || 9 || 4 || 2.250 ||
|-
| || || || || 10\33 || || 363.636 || 7 || 3 || 2.333 ||
|-
| || || || || || 17\56 || 364.286 || 12 || 5 || 2.400 ||
|-
| || || || 7\23 || || || 365.217 || 5 || 2 || 2.500 ||
|-
| || || || || || 18\59 || 366.102 || 13 || 5 || 2.600 || Unnamed golden tuning (366.2564¢)
|-
| || || || || 11\36 || || 366.667 || 8 || 3 || 2.667 ||
|-
| || || || || || 15\49 || 367.347 || 11 || 4 || 2.750 ||
|-
| || || 4\13 || || || || 369.231 || 3 || 1 || 3.000 ||
|-
| || || || || || 13\42 || 371.429 || 10 || 3 || 3.333 ||
|-
| || || || || 9\29 || || 372.414 || 7 || 2 || 3.500 || [[Sephiroth]]
|-
| || || || || || 14\45 || 373.333 || 11 || 3 || 3.667 ||
|-
| || || || 5\16 || || || 375.000 || 4 || 1 || 4.000 ||
|-
| || || || || || 11\35 || 377.143 || 9 || 2 || 4.500 || [[Muggles]]
|-
| || || || || 6\19 || || 378.947 || 5 || 1 || 5.000 || [[Magic]]
|-
| || || || || || 7\22 || 381.818 || 6 || 1 || 6.000 || [[Wuerschmidt]]↓
|-
| 1\3 || || || || || || 400.000 || 1 || 0 || → inf ||
|}


[[Category:Mosh]]
[[Category:Mosh]]
[[Category:7-tone scales]]
[[Category:7-tone scales]]
Retrieved from "https://en.xen.wiki/w/3L_4s"