! ji_hca23.scl by Orjan Hansson, 2004-07-17
!
JI for hca (2nd and 3rd pos)
!
! For major diatonic (Richter) harmonica played in 2nd and 3rd
! position.
!
! Tuning a hca in JI (just intonation) in 1st pos (ji_hca01.scl) is
! not good for playing chords in 2nd and 3rd pos. See the files
! ji_hca02.scl and ji_hca03.scl, respectively, for explanations and
! workarounds. As stated in these files the main problems are with
! the major sixth (in 6D and 10D) and the perfect fourth (in 5D and
! 9D) in 1st pos.
!
! Fortunately, the same adjustment of the major sixth (increase with
! 22 cent) makes it sound good in both 2nd and 3rd pos where it
! corresponds to a major whole tone and a perfect fifth, respectively.
!
! The perfect fourth is more problematic. In order to make a beatless
! flattened seventh chord in 2nd pos it need to be decreased with 27
! cent. However, this will result in a very flat minor third in 3rd
! pos. In fact, to get a beatless minor chord in 3rd pos, this note
! needs to be adjusted in the other direction, ie increased by 22 cent
! from the 1st pos value. The compromise solution given here is to
! leave this note unchanged at the 1st pos perfect fourth. This means
! that the flattened seventh in 2nd pos will sound a little too sharp
! while the minor third in 3rd pos will sound a little too flat.
!
 7
!
 9/8 Major whole tone
 5/4 Major third
 4/3 Perfect fourth unchanged as a compromise between 2nd and 3rd pos
 3/2 Perfect fifth
 27/16 Major sixth increased with 22 cent
 15/8 Major seventh
 2/1 Octave
!
! Deviations in cent from 12-tone equal temperament
! (no octave stretching)											
! Hole  1   2   3   4   5   6   7   8   9  10
! Blow  0 -14   2   0 -14   2   0 -14   2   0
! Draw  4   2 -12   4  -2   6 -12   4  -2   6
!
! Recommendations for use with Chromatia Tuner 3.0 ("Options/Tuning"):
!
! Scale root key:
! Set this to the key of the hca.
!
! Octave stretch:
! 2 cent/octave is usually recommended.
!
! Master tuning:
! Usually, hca:s are tuned a little sharp, for example to A4 = 443 Hz
! (12 cent above 440 Hz). With "Chromatia", it is important to set
! the master tuning to the desired frequency of the scale root key.
! For a C hca, one should set C4 to 263 Hz (9 semitones of equal
! temperament below A4 = 443 Hz).
!
! References:
!
! The temperaments in this set of files (ji_hca*.scl) are based on
! recommendations by Pat Missin. See his text "Altered tunings".
! (www.patmissin.com)
!
! The Chromatia instrument tuner is made by FMJ-Software.
! (www.fmjsoft.com)
!
! The Scala scale file format used here is becoming a standard for
! exchange of scales and can be read by "Chromatia".
! (www.xs4all.nl/~huygensf/scala/)