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Re: Intervals between various B pitches


From: Aaron Hill
Subject: Re: Intervals between various B pitches
Date: Sun, 20 May 2018 07:23:10 -0700
User-agent: Roundcube Webmail/1.3.6

On 2018-05-20 04:16, Hans Åberg wrote:
The keyboard layout is altering pitches as follows:
           ^ #
          /
         . -> M
        / \
     b v   v m
where M (resp. m) is the major (resp. minor) second, and the
the sharp # (resp. flat b) raises (resp lower) with the interval
M - m, that is, the difference between the major and minor seconds.

Resulting key pattern, in a scale using names A B C D E F G:
      C#  D#  E#
    C   D   E   F#  G#  A#  B#
  Cb  Db  Eb  F   G   A   B
            Fb  Gb  Ab  Bb  C'
In terms of traditional interval names, writing
  P  pure
  M  major
  m  minor
  A  augmented
  D  diminished
plus numbers: 1st, 2nd, etc., this is
      A1  A2  A3
    P1  M2  M3  A4  A5  A6  A7
  D1  m2  m3  P4  P5  M6  M7  A8
    D2  D3  D4  D5  m6  m7  P8
                          D2

Hans, would you confirm whether the "D2" dangling at the end should actually be "D8"?

-- Aaron Hill



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