Meantone scales: Difference between revisions

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Line 4: Line 4:
! meantone5.scl
! meantone5.scl
!
!
Meantone[5] in 31edo tuning
Meantone[5] in 31edo tuning
5
5
!
!
193.54839
193.54839
387.09677
387.09677
696.77419
696.77419
890.32258
890.32258
2/1
2/1
</pre>
</pre>


Line 24: Line 24:
! meantone7.scl
! meantone7.scl
!
!
Meantone[7] in 31edo tuning
Meantone[7] in 31edo tuning
7
7
!
!
193.54839
193.54839
387.09677
387.09677
503.22581
503.22581
696.77419
696.77419
890.32258
890.32258
1083.87097
1083.87097
2/1
2/1
</pre>
</pre>


Line 40: Line 40:
! meantone7-19.scl
! meantone7-19.scl
!
!
Meantone[7] in 19edo tuning
Meantone[7] in 19edo tuning
7
7
!
!
189.47368
189.47368
378.94737
378.94737
505.26316
505.26316
694.73684
694.73684
884.21053
884.21053
1073.68421
1073.68421
2/1
2/1
</pre>
</pre>


Line 62: Line 62:
! meantone12.scl
! meantone12.scl
!
!
Meantone[12] in 31edo tuning
Meantone[12] in 31edo tuning
12
12
!
!
116.12903
116.12903
193.54839
193.54839
309.67742
309.67742
387.09677
387.09677
503.22581
503.22581
580.64516
580.64516
696.77419
696.77419
812.90323
812.90323
890.32258
890.32258
1006.45161
1006.45161
1083.87097
1083.87097
2/1
2/1
</pre>
</pre>


Line 85: Line 85:
* Central D, providing notes from E♭ through G♯
* Central D, providing notes from E♭ through G♯
* Central A, providing notes from B♭ through D♯
* Central A, providing notes from B♭ through D♯
=== Meaneb471a ===
<pre>
! meaneb471a.scl
!
Equal beating 5/4 = 3/2 opposite. Almost 1/5 Pyth. Gottfried Keller (1707)     
12
!
80.94883
194.55681
308.16479
389.11362
502.72160
583.67043
697.27840
778.22724
891.83521
1005.44319
1086.39202
2/1
</pre>
Mode: 3|8 (sLLsLsLsLLsL)
Suggested keyboard mappings:
* Central C, providing notes from Eb to G#
Note: this is the tuning where ~3/1 and ~5/1 beat at the equal rate, despite the description.
=== Meaneb471 ===
<pre>
! meaneb471.scl
!
Equal beating 5/4 = 3/2 same. Almost 5/17-comma. Erv Wilson's 'metameantone'
12
!
69.41306
191.26087
313.10869
382.52175
504.36956
573.78262
695.63044
765.04350
886.89131
1008.73913
1078.15219
2/1
</pre>
Mode: 3|8 (sLLsLsLsLLsL)
Suggested keyboard mappings:
* Central C, providing notes from Eb to G#
Note: this is the tuning where ~3/1 and ~5/1 beat at the equal rate, despite the description.
=== Ratwolf ===
<pre>
! smithgw_ratwolf.scl
!
Eleven fifths of (416/5)^(1/11) and one 20/13 wolf, G.W. Smith 2003
12
!
70.86342
191.67526
312.48710
383.35053
504.16237
575.02579
695.83763
766.70106
887.51290
1008.32474
1079.18816
2/1
</pre>
Mode: 3|8 (sLLsLsLsLLsL)
Suggested keyboard mappings:
* Central C, providing notes from Eb through G#
; External links
* [http://lumma.org/tuning/gws/ratwolf.html Ratwolf]


=== Meanwoo12 ===
=== Meanwoo12 ===
Line 90: Line 175:
! meanwoo12.scl
! meanwoo12.scl
!
!
[5/4 7] eigenmonzo meantone, Eb to G# gamut
[5/4 7] eigenmonzo meantone, Eb to G# gamut
12
12
!
!
75.28859
75.28859
193.15686
193.15686
311.02512
311.02512
386.31371
386.31371
504.18198
504.18198
579.47057
579.47057
697.33883
697.33883
772.62743
772.62743
890.49569
890.49569
1008.36395
1008.36395
1083.65255
1083.65255
1201.52081
1201.52081
</pre>
</pre>


Line 116: Line 201:
! meantone-fifths7.scl
! meantone-fifths7.scl
!
!
Meantone-fifths[7] fifths-repetition MOS, pure 2 and 5 (1/4 comma)
Meantone-fifths[7] fifths-repetition MOS, pure 2 and 5 (1/4 comma)
7
7
!
!
117.10786
117.10786
193.15686
193.15686
310.26471
310.26471
386.31371
386.31371
503.42157
503.42157
620.52943
620.52943
696.57843
696.57843
</pre>
</pre>


Line 133: Line 218:
! meanwoo19.scl
! meanwoo19.scl
!
!
[5/4 7] eigenmonzo meantone, Gb to B# gamut
[5/4 7] eigenmonzo meantone, Gb to B# gamut
19
19
!
!
75.28859
75.28859
117.86826
117.86826
193.15686
193.15686
268.44545
268.44545
311.02512
311.02512
386.31371
386.31371
461.60231
461.60231
504.18198
504.18198
579.47057
579.47057
622.05024
622.05024
697.33883
697.33883
772.62743
772.62743
815.20710
815.20710
890.49569
890.49569
965.78428
965.78428
1008.36395
1008.36395
1083.65255
1083.65255
1158.94114
1158.94114
1201.52081
1201.52081
</pre>
</pre>


Line 161: Line 246:
! meantone-fifths11.scl
! meantone-fifths11.scl
!
!
Meantone-fifths[11] fifths-repetition MOS, pure 2 and 5 (1/4 comma)
Meantone-fifths[11] fifths-repetition MOS, pure 2 and 5 (1/4 comma)
11
11
!
!
76.04900
76.04900
117.10786
117.10786
193.15686
193.15686
269.20586
269.20586
310.26471
310.26471
386.31371
386.31371
427.37257
427.37257
503.42157
503.42157
579.47057
579.47057
620.52943
620.52943
696.57843
696.57843
</pre>
</pre>


Line 181: Line 266:
<pre>
<pre>
!
!
Rank 2 scale (698.9010989010989, 1200.)
Rank 2 scale (698.9010989010989, 1200.)
43
43
!
!
13.186812
13.186812
79.120881
79.120881
92.307693
92.307693
105.494505
105.494505
118.681317
118.681317
184.615386
184.615386
197.802198
197.802198
210.989010
210.989010
276.923079
276.923079
290.109891
290.109891
303.296703
303.296703
316.483515
316.483515
382.417584
382.417584
395.604396
395.604396
408.791208
408.791208
421.978020
421.978020
487.912089
487.912089
501.098901
501.098901
514.285713
514.285713
580.219782
580.219782
593.406594
593.406594
606.593406
606.593406
619.780218
619.780218
685.714287
685.714287
698.901099
698.901099
712.087911
712.087911
778.021980
778.021980
791.208792
791.208792
804.395604
804.395604
817.582416
817.582416
883.516485
883.516485
896.703297
896.703297
909.890109
909.890109
923.076921
923.076921
989.010990
989.010990
1002.197802
1002.197802
1015.384614
1015.384614
1081.318683
1081.318683
1094.505495
1094.505495
1107.692307
1107.692307
1120.879119
1120.879119
1186.813188
1186.813188
1200.
1200.
</pre>
</pre>


Line 233: Line 318:
<pre>
<pre>
!
!
Rank 2 scale (698.9010989010989, 1200.)
Rank 2 scale (698.9010989010989, 1200.)
55
55
!
!
13.186812
13.186812
26.373624
26.373624
79.120881
79.120881
92.307693
92.307693
105.494505
105.494505
118.681317
118.681317
171.428574
171.428574
184.615386
184.615386
197.802198
197.802198
210.989010
210.989010
224.175822
224.175822
276.923079
276.923079
290.109891
290.109891
303.296703
303.296703
316.483515
316.483515
329.670327
329.670327
382.417584
382.417584
395.604396
395.604396
408.791208
408.791208
421.978020
421.978020
474.725277
474.725277
487.912089
487.912089
501.098901
501.098901
514.285713
514.285713
527.472525
527.472525
580.219782
580.219782
593.406594
593.406594
606.593406
606.593406
619.780218
619.780218
672.527475
672.527475
685.714287
685.714287
698.901099
698.901099
712.087911
712.087911
725.274723
725.274723
778.021980
778.021980
791.208792
791.208792
804.395604
804.395604
817.582416
817.582416
870.329673
870.329673
883.516485
883.516485
896.703297
896.703297
909.890109
909.890109
923.076921
923.076921
975.824178
975.824178
989.010990
989.010990
1002.197802
1002.197802
1015.384614
1015.384614
1028.571426
1028.571426
1081.318683
1081.318683
1094.505495
1094.505495
1107.692307
1107.692307
1120.879119
1120.879119
1173.626376
1173.626376
1186.813188
1186.813188
1200.
1200.
</pre>
</pre>


Line 297: Line 382:
* [[Lost spirit]]
* [[Lost spirit]]
* [[Blackened skies]]
* [[Blackened skies]]
{{Navbox scale gallery}}


[[Category:Pages with Scala files]]
[[Category:Pages with Scala files]]
[[Category:MOS scales]]
[[Category:MOS scales]]
[[Category:Tempered scales]]
[[Category:Tempered scales]]
[[Category:Pages with mostly numerical content]]
[[Category:Meantone]]
[[Category:Meantone]]

Latest revision as of 01:29, 27 September 2025

Meantone[5]

Meantone5

! meantone5.scl
!
 Meantone[5] in 31edo tuning
 5
!
 193.54839
 387.09677
 696.77419
 890.32258
 2/1

Mode: 4|0

Suggested keyboard mappings:

  • Central C, providing C–G–D–A–E

Meantone[7]

Meantone7

! meantone7.scl
!
 Meantone[7] in 31edo tuning
 7
!
 193.54839
 387.09677
 503.22581
 696.77419
 890.32258
 1083.87097
 2/1

Meantone7-19

! 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.

Meantone[12]

Meantone12

! 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

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♯

Meaneb471a

! meaneb471a.scl
!
 Equal beating 5/4 = 3/2 opposite. Almost 1/5 Pyth. Gottfried Keller (1707)      
 12
!
 80.94883
 194.55681
 308.16479
 389.11362
 502.72160
 583.67043
 697.27840
 778.22724
 891.83521
 1005.44319
 1086.39202
 2/1

Mode: 3|8 (sLLsLsLsLLsL)

Suggested keyboard mappings:

  • Central C, providing notes from Eb to G#

Note: this is the tuning where ~3/1 and ~5/1 beat at the equal rate, despite the description.

Meaneb471

! meaneb471.scl
!
 Equal beating 5/4 = 3/2 same. Almost 5/17-comma. Erv Wilson's 'metameantone'
 12
!
 69.41306
 191.26087
 313.10869
 382.52175
 504.36956
 573.78262
 695.63044
 765.04350
 886.89131
 1008.73913
 1078.15219
 2/1

Mode: 3|8 (sLLsLsLsLLsL)

Suggested keyboard mappings:

  • Central C, providing notes from Eb to G#

Note: this is the tuning where ~3/1 and ~5/1 beat at the equal rate, despite the description.

Ratwolf

! smithgw_ratwolf.scl
!
 Eleven fifths of (416/5)^(1/11) and one 20/13 wolf, G.W. Smith 2003
 12
!
 70.86342
 191.67526
 312.48710
 383.35053
 504.16237
 575.02579
 695.83763
 766.70106
 887.51290
 1008.32474
 1079.18816
 2/1

Mode: 3|8 (sLLsLsLsLLsL)

Suggested keyboard mappings:

  • Central C, providing notes from Eb through G#
External links

Meanwoo12

! 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

Mode: 3|8 (sLLsLsLsLLsL)

Suggested keyboard mappings:

  • Central C, providing notes from Eb to G#.

Meantone-fifths7

! 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

Meantone[19]

Meanwoo19

! 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

Meantone-fifths11

! 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

Meantone[43]

Meantone43 in 91edo

!
 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]

Meantone55 in 91edo

!
 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.
Subsets


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