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Roederer, Chapter 5, pp. 171 – 181
Cook, Chapter 14, pp. 177 – 185
Cook, Chapter 13, pp. 150 – 152, 157 – 162
The notes do-mi-sol
constitute the major third,
the building stone of
Western music harmony.
Continuing to "fill in" tones, in each step trying to keep the number of dissonance to a minimum an the number of consonance to a maximum, yields
Within the just diatonic scale we can form the following to indicate
Pitch of 1000 Hz at 40 dB : 1000 mel
(mels = 2410 log[1.6 ¢ 10-3 f +1])
A piano keyboard normalized to mel scale, that is the keyborad is warped to match steps which are equal "distance" on the mel scale
(To construct: pass noise through a band-pass filter. The center frequency of the filter determines the perceived height of the sound)
Shepard tritone paradox