Jon's temperament adventure

[David Love]

Paul:

I'm not sure I understand this chart.  Does that mean that the narrowest
fifth is the Ab-Eb at 1.8c.?

David Love

----- Original Message -----
From: "Paul N. Bailey" <103445.713@compuserve.com>
To: <pianotech@ptg.org>; "Paul N. Bailey" <103445.713@compuserve.com>
Sent: January 30, 2002 12:06 AM
Subject: Re: Jon's temperament adventure


> Beat rates and cents sizes of intervals for Moore Representative Victorian
> Temperament
>
> (If the chart holds  up thru the rigors of email.)
>
>                         Paul Bailey
>                         Modesto CA
>
>
> ''''Date: Tue, 29 Jan 2002 20:32:48 -0800
> ''From: "David Love" <davidlovepianos@earthlink.net>
> ''Subject: Re: Jon's temperament adventure
>
> ''Ron/Jon:
>
> ''Are the fifths and fourths in this temperament compromised much?
>
> ''David Love'''''
>
>                         Moore Representative Victorian  Temperament
>
> cents dev.              386                     315.6           702
>
> from e.t.
>
>                         M 3rd   M 3rd           minor   minor   fifths
> fifths
>                         cents   bps             3rds    3rd     cents
bps
>
>                                                 cents   bps
>
>
> 2.5             c5                      c5
> c5
> -1              b                       b
> b
> 1.5             a#                      a#
> a#
> 0               a                       a       -13.1   20.0
> a
> 0.5             g#      15.7    18.9    g#      -17.1   24.6
> g#
> 3               g       9.7     11.0    g       -17.1   23.2
> g
> -0.5            f#      15.7    16.8    f#      -15.1   19.3
> f#
> 2               f       11.7    11.8    f       -17.1   20.7    -1.5
0.9
> f
> -1.5            e       15.7    15.0    e       -11.1   12.7    -1.5
0.8
> e
> 1               Eb      15.7    14.2    Eb      -17.1   18.4    -1.5
0.8
> Eb
> 1.5             d       11.7    10.0    d       -15.1   15.4    -3.5
1.8
> d
> 0               c#      15.7    12.6    c#      -17.1   16.4    -1.5
0.7
> c#
> 2.5             c4      9.7     7.4     c4      -17.1   15.5    -1.5
0.7
> c4
> -1              b       15.7    11.2    b       -13.1   11.2    -1.5
0.6
> b
> 1.5             a#      13.7    9.3     a#      -17.1   13.8    -1.5
0.6
> a#
> 0               a       13.7    8.7     a       -13.1   9.982   -3.5
1.3
> a
> 0.5             g#      15.7    9.5     g#      -17.1   12.3    -1.5
0.5
> g#
> 3               g       9.7     5.5     g       -17.1   11.6    -3.5
1.2
> g
> -0.5            f#      15.7    8.4     f#      -15.1   9.663   -1.5
0.5
> f#
> 2               f       11.7    5.920   f       -17.1   10.3    -1.5
0.4
> f
> -1.5            e       15.7    7.5     e       -11.1   6.3     -1.5
0.4
> e
> 1               Eb      15.7    7.1     Eb      -17.1   9.2     -1.5
0.4
> Eb
> 1.5             d       11.7    4.977   d       -15.1   7.7     -3.5
0.9
> d
> 0               c#      15.7    6.3     c#      -17.1   8.2     -1.5
0.3
> c#
> 2.5             c3      9.7     3.7     c3      -17.1   7.7     -1.5
0.3
> c3
> -1              b       15.7    5.6     b       -13.1   5.6     -1.5
0.3
> b
> 1.5             a#      13.7    4.6     a#      -17.1   6.9     -1.5
0.3
> a#
> 0               a       13.7    4.4     a       -13.1   5.0     -3.5
0.7
> a
> 0.5             g#      15.7    4.7     g#      -17.1   6.1     -1.5
0.3
> g#
> 3               g       9.7     2.8     g       -17.1   5.8     -3.5
0.6
> g
> -0.5            f#      15.7    4.2     f#      -15.1   4.8     -1.5
0.2
> f#
> 2               f       11.7    3.0     f       -17.1   5.2     -1.5
0.2
> f
> -1.5            e       15.7    3.7     e       -11.1   3.2     -1.5
0.2
> e
> 1               Eb      15.7    3.5     Eb      -17.1   4.6     -1.5
0.2
> Eb
> 1.5             d       11.7    2.5     d       -15.1   3.8     -3.5
0.4
> d
> 0               c#      15.7    3.2     c#      -17.1   4.1     -1.5
0.2
> c#
> 2.5             c2      9.7     1.8     c2      -17.1   3.9     -1.5
0.2
> c2
>