[QUOTE=science_man_88;258456]well if my memory serves me correct they would be multiplying the average frequency by 2^(1/12) = 1.5 if I remember my laws of strings that I read after the physics 11 high school exam I think.[/QUOTE]

One accident that makes conventional western music so compelling
is that 2^(7/12) = 1.498.

Perhaps that was what you were "thinking" of.

Pythagoras

[QUOTE=davieddy;258474]One accident that makes conventional western music so compelling
is that 2^(7/12) = 1.498.

Perhaps that was what you were "thinking" of.

Pythagoras[/QUOTE]

yeah it's what I was thinking of up a perfect fifth = ~1.5 thanks for the reminder. each note increases it by 5% though at last check.

[QUOTE=petrw1;258459]Sound the same but notated differently:

[CODE]C#, D#, E#, F#, G#, A#, B#, C#
Db, Eb, F, Gb, Ab, Bb, C, Db[/CODE][/QUOTE]

E# = F last time I checked the music I know.

[QUOTE=science_man_88;258468][root]major scale has 2,2,1,2,2,2,1 for the spacing.
[root]major chord has spacing 4,3

[/QUOTE]

You are talking of 2^(1/12) semitones here.

The most "harmonious" major chord has frequencies proportional to
1,2,3,4,5,6,8,10....
Now if you tune correctly, the inclusion of 7 and 9
sounds glorious.
If 8 is "C" then 9 is roughly "D" (8.98)
OTOH 7 is halfway between A and B flat.
David