ClownTone Mode 1

The first of a series of 12-tone retunings/distortions. This one is
characterized by a neutral third and sixth.

1/1
19/18
10/9
7/6
11/9
4/3
17/12
3/2
19/12
5/3
7/4
11/6
2/1

This was inspired by the seven tone Cambodian scale (I just know it has a
neutral third and a neutral sixth and starts on around F#3), as well as the
obvious Arabic scale with quarter-step flatted E and B. The name "ClownTone"
was inspired by this watercolor of a clown I had on the wall in my bedroom
as a child, which used to give me nightmares.

I use this scale to familiarize myself with 7- and 11-based fractions of a
semitone (all flat in this case), retuning existing 12-edo MIDI files,
including my own.

So what does this scale remind you of?

>

Hello Danny!
they remind me of the Diaphonic cycles which can be seen
http://www.anaphoria.com/tres.PDF on page 3
since you have parts of two harmonic series (the inverse of the above)
yet have duplicating tetrachords. But don't let that make you think that
I don't think it is not a
good scale

>
> From: "Danny Wier" <dawier@hotmail.com>
> Subject: ClownTone Mode 1
>
> The first of a series of 12-tone retunings/distortions. This one is
> characterized by a neutral third and sixth.
>
> 1/1
> 19/18
> 10/9
> 7/6
> 11/9
> 4/3
> 17/12
> 3/2
> 19/12
> 5/3
> 7/4
> 11/6
> 2/1
>
> This was inspired by the seven tone Cambodian scale (I just know it has a
> neutral third and a neutral sixth and starts on around F#3), as well as the
> obvious Arabic scale with quarter-step flatted E and B. The name "ClownTone"
> was inspired by this watercolor of a clown I had on the wall in my bedroom
> as a child, which used to give me nightmares.
>
> I use this scale to familiarize myself with 7- and 11-based fractions of a
> semitone (all flat in this case), retuning existing 12-edo MIDI files,
> including my own.
>
> So what does this scale remind you of?
>
> ________________________________________________________________________
> ________________________________________________________________________
>
> Message: 12
> Date: Sat, 10 May 2003 20:02:01 -0700
> From: Carl Lumma <ekin@lumma.org>
> Subject: Re: Re: Retuned via Scala
>
> >>>If n is a 12-et midi note number, we can set u = n/7 mod 12
> >>>(reduced to the range -5..6) and v = (n - 7u)/12.
> >>>Then n = 12v+7u. If for v we substitute 1200 (changing to
> >>>cents) and for u we put the approximation for 7/4 in the
> >>>1029/1024 planar temperament, we get the scale I gave.
> >>
> >>If n=2, what's u?
> >
> >Mod 12, we have 2/7 = 2*7 = 14 = 2; then v is
> >(2-2*7)/12 = -12/12 = - 1. Now n = 12*(-1) + 7*2 = 2.
>
> K, I follow that except for 2/7 = 2*7 ... does mod allow one
> to convert / to * or something?
>
> Hrm, so...
>
> n - an interval we want to remap, in steps of a linear temperament
>
> g - the generator of the linear temperament in cents
> (in this case, 700 cents)
>
> u - the generator of the linear temperament in steps
> (in this case, 7)
>
> v - ?
>
> >> Substitute 1200 for v in what? ie "n = 12*1200 + 7u"?
> >
> >Now we can substitute, 1200*(-1) + 7*g, where g is whatever we want
> >(say, an approximate 7/4.)
>
> You lost me. This looks vaguely like n = 12v+7u, where *12* has
> been substituted with 1200, and u with g.
>
> -Carl
>
> ________________________________________________________________________
> ________________________________________________________________________
>
> Message: 13
> Date: Sun, 11 May 2003 04:45:33 -0000
> From: "Gene Ward Smith" <gwsmith@svpal.org>
> Subject: Re: Retuned via Scala
>
> --- In tuning@yahoogroups.com, Carl Lumma <ekin@l...> wrote:
>
> > >Mod 12, we have 2/7 = 2*7 = 14 = 2; then v is
> > >(2-2*7)/12 = -12/12 = - 1. Now n = 12*(-1) + 7*2 = 2.
> >
> > K, I follow that except for 2/7 = 2*7 ... does mod allow one
> > to convert / to * or something?
>
> Modulo 12, all of the invertible elements (which are the ones
> relatively prime to 12) are their own inverses, so / and * are the same:
>
> 1^2 = 1, 5^2 = 25 = 1, 7^2 = 49 = 1, 11^2 = 121 = 1
>
> > Hrm, so...
> >
> > n - an interval we want to remap, in steps of a linear temperament
>
> If you are using the "12" and "7" business, you are assuming you are
> remapping 12 diatonic notes.
>
> > g - the generator of the linear temperament in cents
> > (in this case, 700 cents)
> >
> > u - the generator of the linear temperament in steps
> > (in this case, 7)
> >
> > v - ?
>
> v is the number of octaves.
>
> > >> Substitute 1200 for v in what? ie "n = 12*1200 + 7u"?
>
> n = 12*v + 7*u.
>
> Now, in terms of cents,
>
> 1200*v + 676.578*u gives 1/4 comma meantone
>
> 1200*v + 700*u gives 12-et
>
> 1200*v + 500*u, reduced mod 1200, gives the "back.scl" scale
>
> 1200*v + 966.55555*u gives the "tra.scl" scale
>
> etc.
>
> ________________________________________________________________________
> ________________________________________________________________________
>
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North American Embassy of Anaphoria Island
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