Xenharmonic Wiki

Meantone: Difference between revisions

← Older editNewer edit →
VisualWikitext
Lériendil (talk | contribs)
8,046 edits
m fixed an order
Added scales from scl pages
Line 546: Line 546:
=== Other tunings ===
=== Other tunings ===
* [[DKW theory|DKW]] (2.3.5): ~2 = 1\1, ~3/2 = 696.353
* [[DKW theory|DKW]] (2.3.5): ~2 = 1\1, ~3/2 = 696.353
== Scales ==
=== 5-note Meantone scales ===
<pre>
! meantone5.scl
!
Meantone[5] in 31edo tuning
5
!
193.54839
387.09677
696.77419
890.32258
2/1
</pre>Mode: 4|0
Suggested keyboard mappings:
*Central C, providing C-G-D-A-E
=== 7-note Meantone scales ===
! meantone7.scl
!
Meantone[7] in 31edo tuning
7
!
193.54839
387.09677
503.22581
696.77419
890.32258
1083.87097
2/1
! meantone7-19.scl
!
Meantone[7] in 19edo tuning
7
!
189.47368
378.94737
505.26316
694.73684
884.21053
1073.68421
2/1
Mode: 5|1 (Ionian, LLsLLLs)
Suggested keyboard mappings:
* Central C, providing notes from F through B.
==== Fifth-equivalent ====
<pre>
! meantone-fifths7.scl
!
Meantone-fifths[7] fifths-repetition MOS, pure 2 and 5 (1/4 comma)
7
!
117.10786
193.15686
310.26471
386.31371
503.42157
620.52943
696.57843
</pre>
=== 12-note Meantone scales ===
<pre>
! meantone12.scl
!
Meantone[12] in 31edo tuning
12
!
116.12903
193.54839
309.67742
387.09677
503.22581
580.64516
696.77419
812.90323
890.32258
1006.45161
1083.87097
2/1
</pre>Mode: 5|6 (LsLsLsLLsLsL)
Suggested keyboard mappings:
*Central G, providing notes from A♭ through C♯
*Central D, providing notes from E♭ through G♯
*Central A, providing notes from B♭ through D♯
=== 11-note Meantone scales (fifth-equivalent) ===
<pre>
! meantone-fifths11.scl
!
Meantone-fifths[11] fifths-repetition MOS, pure 2 and 5 (1/4 comma)
11
!
76.04900
117.10786
193.15686
269.20586
310.26471
386.31371
427.37257
503.42157
579.47057
620.52943
696.57843
</pre>
=== 91edo Meantone scales ===
==== Meantone[43] ====
Is also [[Domineering]][43].
!
Rank 2 scale (698.9010989010989, 1200.)
  43
!
  13.186812
  79.120881
  92.307693
  105.494505
  118.681317
  184.615386
  197.802198
  210.989010
  276.923079
  290.109891
  303.296703
  316.483515
  382.417584
  395.604396
  408.791208
  421.978020
  487.912089
  501.098901
  514.285713
  580.219782
  593.406594
  606.593406
  619.780218
  685.714287
  698.901099
  712.087911
  778.021980
  791.208792
  804.395604
  817.582416
  883.516485
  896.703297
  909.890109
  923.076921
  989.010990
  1002.197802
  1015.384614
  1081.318683
  1094.505495
  1107.692307
  1120.879119
  1186.813188
  1200.
'''Meantone[55]'''
Is also [[Domineering]][55].<pre>
!
Rank 2 scale (698.9010989010989, 1200.)
55
!
13.186812
26.373624
79.120881
92.307693
105.494505
118.681317
171.428574
184.615386
197.802198
210.989010
224.175822
276.923079
290.109891
303.296703
316.483515
329.670327
382.417584
395.604396
408.791208
421.978020
474.725277
487.912089
501.098901
514.285713
527.472525
580.219782
593.406594
606.593406
619.780218
672.527475
685.714287
698.901099
712.087911
725.274723
778.021980
791.208792
804.395604
817.582416
870.329673
883.516485
896.703297
909.890109
923.076921
975.824178
989.010990
1002.197802
1015.384614
1028.571426
1081.318683
1094.505495
1107.692307
1120.879119
1173.626376
1186.813188
1200.
</pre>
====Subsets====
*[[5- to 10-tone scales in 91edo#Meantone]]
*[[Lost spirit]]
*[[Blackened skies]]
=== Tempered-octave scales ===
==== 12 notes ====
<pre>
! meanwoo12.scl
!
[5/4 7] eigenmonzo meantone, Eb to G# gamut
12
!
75.28859
193.15686
311.02512
386.31371
504.18198
579.47057
697.33883
772.62743
890.49569
1008.36395
1083.65255
1201.52081
</pre>Mode: 3|8 (sLLsLsLsLLsL)
Suggested keyboard mappings:
*Central C, providing notes from Eb to G#.
==== 19 notes ====
<pre>
! meanwoo19.scl
!
[5/4 7] eigenmonzo meantone, Gb to B# gamut
19
!
75.28859
117.86826
193.15686
268.44545
311.02512
386.31371
461.60231
504.18198
579.47057
622.05024
697.33883
772.62743
815.20710
890.49569
965.78428
1008.36395
1083.65255
1158.94114
1201.52081
</pre>


== Music ==
== Music ==
Retrieved from "https://en.xen.wiki/w/Meantone"