Yamaha HD-300 HD-300 Owners Manual - Page 39

Appendix Temperaments  Equal and Pure Temperaments Temperament Description Equal Temperament that divides one octave into 12 equal steps. The frequency ratio between neighboring notes is 12 2 (= 1.0594631). Pure (Major) The tuning preserves the pure mathematical intervals of the major scale, especially for the triad chords (in case of the "C Major"; CEG, FAC, and GBD). Since this tuning includes the pure perfect 5th and pure major 3rd, both large and small interval whole tones, and chromatic scale semi-tones, changing keys requires changing the pitch ratio of every note in the scale, making it impractical for keyboard or fretted instruments. Pure (minor) Like the pure major, this tuning preserves the pure mathematical intervals of the minor scale (in case of "a minor"; ACE, DFA, EGB). Changing keys also requires changing the pitch of every note in the scale, making it impractical for keyboard or fretted instruments.  Preset Temperaments Cent List (for C MAJOR/a minor) Display Temper- Difference from the equal temperament (cent) ament Type C Db D Eb E F Fb G Ab A Bb B Equal Equal 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 Pure C Pure Major (C) 0.0 -29.3 3.9 15.6 -13.7 -2.0 -31.3 2.0 -27.4 -15.6 17.6 -11.7 Pure a Pure Minor (a) 15.6 -13.7 -2.0 31.3 2.0 13.7 -15.6 17.6 -11.7 0.0 33.2 3.9  Other Temperaments Cent List (for reference) The following temperaments can be set in the individual temperament mode. Temperament Meantone Pythagoras Werkmeister I 3rd Variant Kirnberger III Valloti & Young Difference from the equal temperament (cent): When the root key is C C Db D Eb E F Fb G Ab A Bb B 0 -24.0 -6.8 10.3 -13.7 3.4 -20.5 -3.4 -27.4 -10.3 6.8 -17.1 0 13.7 3.9 -5.9 7.8 -2.0 11.7 2 15.6 5.9 -3.9 9.8 0 -9.8 -7.8 -5.9 -9.8 -2.0 -11.7 -3.9 -7.8 -11.7 -3.9 -7.8 0 -9.8 -6.8 -5.9 -13.7 -2.0 -9.8 -3.4 -7.8 -10.3 -3.9 -11.7 0 -9.8 -3.9 -5.9 -7.8 -2.0 -11.7 -2.0 -7.8 -5.9 -3.9 -9.8 HD-300 Owner's Manual 39