"new" chords for centric modulation

Just some speculations I had on chords I
was playing around with on my "rational guitar"
(and my Excel graphs):

14:17:21 [> 7:17:3*7] gives a very clear "minor" sound,
despite its very wide "minor 3rd" of 17:14 [= 336 c].
(Of course, 21:14 is the good old 3:2 "5th".)

Even 16:13 [= 359 c] sounds like a "minor 3rd".

21:26:32 [> 3*7:13:1] ~ "major chord"
26:21 "major 3rd" = 370 c
32:26 "minor 3rd" = 359 c
32:21 "5th" = 729 c

19:24:28 [> 19:3:7] ~ "major chord"
24:19 = 404 c
28:24 [= 7:6] = 267 c
28:19 = 671 c

13:10 [= 454 c] still sounds like a "major 3rd".

13:19 [= 657 c] can definitely function as a "5th"

13:16:19:24 [> 13:1:19:3] ~ "major 7th chord"

12:15:18:22 [> 3:15:9:11] ~ "major 7th chord"

24:13 [= 1061 c] is very close to 11:6 [= 1049 c]

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Here are my personnal images about those chords:

Joseph L Monzo wrote:

> From: Joseph L Monzo <monz@juno.com>
>
> Just some speculations I had on chords I
> was playing around with on my "rational guitar"
> (and my Excel graphs):
>
> 14:17:21 [> 7:17:3*7] gives a very clear "minor" sound,
> despite its very wide "minor 3rd" of 17:14 [= 336 c].
> (Of course, 21:14 is the good old 3:2 "5th".)
>

The 17:14 third can be sung pleasently. I would say it's a gentle gay-minor
third... very soft and easy-going.

> Even 16:13 [= 359 c] sounds like a "minor 3rd".
>

The 16:13 seems to me far more active and powerful... more attractive. It's
a kind of romantic, and yet somptuous is slow movements (almost a royal
minor 3rd eheh)! Quite more difficult to sing just... though, I'm not any
expert :-)

> 21:26:32 [> 3*7:13:1] ~ "major chord"
> 26:21 "major 3rd" = 370 c
> 32:26 "minor 3rd" = 359 c
> 32:21 "5th" = 729 c
>

Hummm... hard to define and of great sound! This chord is giving almost the
same feeling as a augmented fifth chord, but far more rich and attractive.

> 19:24:28 [> 19:3:7] ~ "major chord"
> 24:19 = 404 c
> 28:24 [= 7:6] = 267 c
> 28:19 = 671 c
>

Humm... quite dissonent... but not too bad with the E (1/1 = C) at the
bottom.

> 13:10 [= 454 c] still sounds like a "major 3rd".
>

Sounds great with (hum... not sure of "how to write chords properly"):

1/1, 13/10, 13/8 and 24/13

> 13:19 [= 657 c] can definitely function as a "5th"
>

Yeah... with minor thirds... with 13/10 it's sounds almost like a [4/3 and
3/2].

> 13:16:19:24 [> 13:1:19:3] ~ "major 7th chord"
>
> 12:15:18:22 [> 3:15:9:11] ~ "major 7th chord"
>

Those notations are still a bit unclear to me... sorry... I'll will reread
my notes about that... someday I should learn ;-)

> 24:13 [= 1061 c] is very close to 11:6 [= 1049 c]
>

Of course!

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