Tune strings in pure perfect fifths, to cello/viola C, except for violin E strings, which should be 21 cents flatter than pure
Pitch: Ratio: Cents: Description:
C 1/1 0 reference pitch, normal tuning
C^ 33/32 53.3 (C with quarter-tone-sharp accidental), C 53 cents sharp
C# 25/24 70.7 29 cents flatter than ET
D7 35/32 155.1 45 cents flatter than ET D
D 9/8 203.9 4 cents sharper than ET, 9th harmonic of C, tuned with G
Eb^ 77/64 320.1 (E half-flat) 20 cents sharper than ET Eb
E 5/4 386.3 14 cents flatter than ET, fifth harmonic of C
E+ 81/84 407.8 8 cents sharper than ET E
F7+ 21/16 470.8 29 cents flatter than ET F, 7th harmonic of G
F^ 11/8 551.3 (F with quarter-tone-sharp accidental), halfway between ET F and F#
F# 45/32 590.2 F#+, 10 cents flatter than ET, 5th harmonic of D
G7 35/24 653.2 47 cents flatter than ET G
G 3/2 702 perfectly in tune with C, open string
G^ 99/64 755.2 (G with quarter-tone-sharp accidental), 55 cents sharper than ET G
G# 25/16 772.6 27 cents flatter than ET, 5th harmonic of E
A+ 27/16 905.9 6 cents sharper than ET, tuned perfectly with D, open string
A^ 55/32 937.6 (A with quarter-tone-sharp accidental), 37 cents sharper than ET A
Bb 7/4 968.8 31 cents flatter than ET, always, 7th harmonic of C
B 15/8 1088.3 12 cents flatter than ET
B# 121/64 1102.6 basically an ET B (m. 63)
C7+ 63/32 1172.7 27 cents flatter than C