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Re: Intervals between various B pitches


From: Menu Jacques
Subject: Re: Intervals between various B pitches
Date: Mon, 21 May 2018 17:41:47 +0200

Thanks Hans!

JM

> Le 20 mai 2018 à 20:56, Hans Åberg <address@hidden> a écrit :
> 
> Here is a two-dimensional layout fitting into the staff system (use a 
> monospace font to view). Pitches increase by moving up or to the right. 
> Moving vertically corresponds to changing position on the staff; moving 
> horizontally, applying an accidental.
> 
> Pitches altering layout as follows:
>       m ^  ^ M
>         | /
>    b <- . -> #
>        /|
>    -M 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 pattern, in a scale using names A B C D E F G:
>                      Ab' A'  A#'
>                  Gb  G   G#
>              Fb  F   F#
>              Eb  E   E#
>          Db  D   D#
>      Cb  C   C#
>      Bb  B   B#
>  Ab  A   A#
> For traditional interval names:
>                  D8  P8  A8
>                  D7  m7  M7  A7
>              D6  m6  M6  A6
>              D5  P5  A5
>          D4  P4  A4
>      D3  m3  M3  A3
>  D2  m2  M2  A2
>  D1  P1  A1
> writing
>  P  pure
>  M  major
>  m  minor
>  A  augmented
>  D  diminished
> plus numbers: 1st, 2nd, etc.
> 
> Then transpose by translating, also between the two diagrams.
> 
> 
> 
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