A scale for MIchael

Michael, here's the scale I outlined in my last post...

1/1
15/14
8/7
7/6
9/7
11/8
10/7
3/2
11/7
12/7
7/4
11/6
2/1

It's about as different to 12TET as you can get. I recorded a piece that demonstrates the scale and you can find it in the JohnOSullivan folder in the files section. I call it the M scale, M for Michael. Let me know what you think of it.

John.

>"Michael, here's the scale I outlined in my last post...

This looks an awful lot like your 12-tone scale. Anyhow, here's a breakdown IMVHO how much it differs from 12TET.

15/14 - 12TET
8/7 - new...................7/6 - similar to 8/7 thus virtually the same tone
9/7 - new but sour
11/8 - new
10/7 - "comma off 12TET" IE similar to 12TET but a good deal more sour
3/2 - 12TET
11/7 - 12TET
12/7 - new but sour
7/4 - new
11/6 - new

....so that seems to me like 6 new intervals and, out of those, 4 that actually come across as being as concordant as 12TET tones. But (again)...I agree with you that if you want to get both all 12 tones AND odd but very concordant intervals from all roots...it's hard to do. For example 7/4 over 8/7 (the interval between the two) is about 1.531...a very sour 5th. And 2 over 9/7 is 1.5555...another very sour 5th. 11/8 over 15/14 is 1.283333...a sort of sour extended third, 2 over 11/7 another sort of sour extended third, and so on.
Please feel free to prove me wrong and make a full 12-tone scale with a lot of non-12TET intervals yet also without a load of sour intervals...but I'm just saying from experience I have found it virtually impossible to accomplish. My consensus is that there's a lot new in said above scale...but not a lot I figure as being concordant enough to get the public to take it seriously.

Michael,

you said: "This looks an awful lot like your 12-tone scale."
Wrong, the only notes in the M scale that are the same as NPT (excluding 1/1 and 2/1) are:

15/14 and 3/2. All the rest are different.

>"...but not a lot I figure as being concordant enough to get the public to take it seriously."

I built the scale for you and not the public.

Did you play the MP3 that demonstrates the M scale? I think it's cute.

There are a small number of good chords available with the M scale.

As regards sour notes, if you play the first note (1/1) simultaneously with the third, then fourth, then fifth etc up to the thirteenth note, all these pairs sound good, to me at least.

Again, check out the MP3 in the JohnOSullivan folder in files.

John.

--- In tuning@yahoogroups.com, Michael <djtrancendance@...> wrote:
>
> >"Michael, here's the scale I outlined in my last post...
>
> This looks an awful lot like your 12-tone scale. Anyhow, here's a breakdown IMVHO how much it differs from 12TET.
>
> 15/14 - 12TET
> 8/7 - new...................7/6 - similar to 8/7 thus virtually the same tone
> 9/7 - new but sour
> 11/8 - new
> 10/7 - "comma off 12TET" IE similar to 12TET but a good deal more sour
> 3/2 - 12TET
> 11/7 - 12TET
> 12/7 - new but sour
> 7/4 - new
> 11/6 - new
>
> ....so that seems to me like 6 new intervals and, out of those, 4 that actually come across as being as concordant as 12TET tones. But (again)...I agree with you that if you want to get both all 12 tones AND odd but very concordant intervals from all roots...it's hard to do. For example 7/4 over 8/7 (the interval between the two) is about 1.531...a very sour 5th. And 2 over 9/7 is 1.5555...another very sour 5th. 11/8 over 15/14 is 1.283333...a sort of sour extended third, 2 over 11/7 another sort of sour extended third, and so on.
> Please feel free to prove me wrong and make a full 12-tone scale with a lot of non-12TET intervals yet also without a load of sour intervals...but I'm just saying from experience I have found it virtually impossible to accomplish. My consensus is that there's a lot new in said above scale...but not a lot I figure as being concordant enough to get the public to take it seriously.
>

>"Did you play the MP3 that demonstrates the M scale? I think it's cute."
Never did get that link...do you have it?

>"As regards sour notes, if you play the first note (1/1) simultaneously
with the third, then fourth, then fifth etc up to the thirteenth note,
all these pairs sound good, to me at least. "
Funny, I think many of the root-tone pairs sound good, it's the non-root tone pairs that really bug me. 11/7 is one of the worst root tone pairs, but many of the others are ok.

Michael,

the M scale demo is in the JohnOSullivan folder in the "Files" section. Check it out. Let me know if you can't find it.

My calculator gives 11/7 a value of 0.88 (anything above zero should be good) and I've tested it and to me it sounds okay. If you remember I used to think that 6/5 was the narrowest legal interval. I tried a 9/8 interval using a Church Organ voice a few weeks ago and realised I had been wrong all along (I had been using the wrong voice for testing). Try the 11/7 with different voices and you might change your opinion of it (note that I'm open to the idea that my calculator might be wrong and should return a negative value for 11/7). So far, with v7 of the calc it seems consistent. If anyone out there can find any anomalies with the calculator please let me know.

John.

--- In tuning@yahoogroups.com, Michael <djtrancendance@...> wrote:
>
> >"Did you play the MP3 that demonstrates the M scale? I think it's cute."
> Never did get that link...do you have it?
>
> >"As regards sour notes, if you play the first note (1/1) simultaneously
> with the third, then fourth, then fifth etc up to the thirteenth note,
> all these pairs sound good, to me at least. "
> Funny, I think many of the root-tone pairs sound good, it's the non-root tone pairs that really bug me. 11/7 is one of the worst root tone pairs, but many of the others are ok.
>