Meantone scales

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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