Tuning and Tempraments

The following two files play a C major scale in Equal Temprament, then Just Intonation, then Pythagorean Intonation. Then they play a Cmajor scale, first melodically, then harmonically, in each intonation.

The differences between each of the scales is very slight and subtle, and may be difficult to hear in this media.

While some of the pitches may seem out of tune to your ears, know that they are being produced here extremely accurately using Csound, a computer-based sound synthesis programming language.

tuningc.wav (approx 650k, ADPCM)

tuning.ram (Real Audio, compressed for 28.8 modems)

This is the tuning.sco file used to create these sounds using Csound

;d:\mine\tunings1.sco ;d:\mine\tunings1.orc ;Demonstrate differences in Pythagorean, Just, and Equal Tempraments by ;playing a C major scale, an arpeggiated C major triad, and a C major triad played ;harmonically. ; pitches taken from Harvard Dict. of Music, 1962, p. 735 /2 ; tuned to ET A4=437 Hz. Based on C4=260 ; Csound, ftp://ftp.maths.bath.ac.uk/pub/dream, ftp://ftp.musique.umontreal.ca/pub/mirrors/dream t 0 90.00 ; tempo (change to suit) f1 0 4096 10 1 .5 2 .5 ; sine wave ; instrument start duration freq(p4) ; equal tempered i1 0 .7 260 ;c4 i1 1 . 292 ;d4 i1 2 . 327.5 ;e4 i1 3 . 347 ;f4 i1 4 . 389.5 ;g4 i1 5 . 437 ;a4 i1 6 . 491 ;b4 i1 7 . 520 ;c5 ; just intonation i1 9 . 260 ;c4 i1 10 . 292.5 ;d4 i1 11 . 325 ;e4 i1 12 . 346.5 ;f4 i1 13 . 390 ;g4 i1 14 . 433.5 ;a4 i1 15 . 487.5 ;b4 i1 16 . 520 ;c5 ; pythagorean i1 18 . 260 ;c4 i1 19 . 292.5 ;d4 i1 20 . 329 ;e4 i1 21 . 346.5 ;f4 i1 22 . 390 ;g4 i1 23 . 438.5 ;a4 i1 24 . 493.5 ;b4 i1 25 . 523.26 ;c5 ; equal C triad melodic i1 27 . 260 ;c4 i1 28 . 327.5 ;e4 i1 29 . 389.5 ;g4 ; equal C triad harmonic i1 31 2 260 ;c4 i1 31 2 327.5 ;e4 i1 31 2 389.5 ;g4 ; just C triad melodic i1 33 .7 260 ;c4 i1 34 .7 325 ;e4 i1 35 .7 390 ;g4 ; just C triad harmonic i1 37 2 260 ;c4 i1 37 2 325 ;e4 i1 37 2 390 ;g4 ; pythagorean C triad melodic i1 39 .7 260 ;c4 i1 40 .7 329 ;e4 i1 41 .7 390 ;g4 ; pythagorean C triad harmonic i1 43 2 260 ;c4 i1 43 2 329 ;e4 i1 43 2 390 ;g4 e