Re: Intervals between various B pitches

[Hans Åberg]

> On 20 May 2018, at 16:23, Aaron Hill <address@hidden> wrote:
> 
> Hans, would you confirm whether the "D2" dangling at the end should actually 
> be "D8"?

Yes, indeed, typo. Here a repost for easy copy (for use with a monospace font). 
Available at [1], the files for use with ChucK [2].

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
                          D8

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1. 
https://secure2.storegate.com/Shares/Home.aspx?ShareID=f2f70b60-a7f7-4d15-9c36-6763de133c62
2. http://chuck.cs.princeton.edu/release/