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http://micro.soonlabel.com/31edo/20130907_meantone%5b19%5d%20(2).mp3

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Jake Freivald’s explanation of the tuning.

MEANTONE

http://xenharmonic.wikispaces.com/Meantone+family

We all know the basics of meantone, so I won’t go into a lot of detail. Septimal meantone takes us to 7/4 by stacking 10 fifths — 7-limit intervals are complex / costly / precious.

Meantone[19] in 31 EDO (i.e., using 18\31, or the 18th step of 31 EDO) gives us lots of accurate 8/7s, 7/6s, 7/4s, 7/5s, 10/7s, and so on. The 9/7 is about 10 cents flat. A few neutrals creep in.

This is the “Ionian” mode: If you play the 1/1, 9/8, 5/4, 4/3, 3/2, 5/3, 15/8, and 2/1 of this mode, you’ll have a standard 5-limit major scale. You can do a I-IV-V, ii-V-I, etc. using this scale.

! C:\Freivald\music\Tuning\scales\meantone[19].scl

!

Meantone[19] in 31 EDO.

19

!

38.70972

116.12905

193.54838

232.25810

309.67743

387.09676

425.80648

503.22581

541.93553

619.35486

696.77419

735.48391

812.90324

890.32257

929.03229

1006.45162

1083.87095

1122.58067

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