Another 12-tone JI scale.....

So I came up with this, has anyone else already discovered/invented it? I think all the modes/keys sound nice in it...

0: 1/1 0.000000 unison, perfect prime
1: 18/17 98.954592 Arabic lute index finger
2: 9/8 203.910002 major whole tone
3: 19/16 297.513016 19th harmonic
4: 24/19 404.441985 smaller undevicesimal major third
5: 4/3 498.044999 perfect fourth
6: 17/12 603.000409 2nd septendecimal tritone
7: 3/2 701.955001 perfect fifth
8: 19/12 795.558015 undevicesimal minor sixth
9: 32/19 902.486984 19th subharmonic
10: 16/9 996.089998 Pythagorean minor seventh
11: 17/9 1101.045408 septendecimal major seventh
12: 2/1 1200.000000 octave

19/16 and 24/19 are very close to 12-edo. Actually the whole sequence
16:17:18:19 is very close to 12-edo.

On Sat, Jun 21, 2014 at 5:08 PM, cuallito@... [TUNING] <
TUNING@yahoogroups.com> wrote:

>
>
> So I came up with this, has anyone else already discovered/invented it? I
> think all the modes/keys sound nice in it...
>
>
> 0: 1/1 0.000000 unison, perfect prime
> 1: 18/17 98.954592 Arabic lute index finger
> 2: 9/8 203.910002 major whole tone
> 3: 19/16 297.513016 19th harmonic
> 4: 24/19 404.441985 smaller undevicesimal major third
> 5: 4/3 498.044999 perfect fourth
> 6: 17/12 603.000409 2nd septendecimal tritone
> 7: 3/2 701.955001 perfect fifth
> 8: 19/12 795.558015 undevicesimal minor sixth
> 9: 32/19 902.486984 19th subharmonic
> 10: 16/9 996.089998 Pythagorean minor seventh
> 11: 17/9 1101.045408 septendecimal major seventh
> 12: 2/1 1200.000000 octave
>
>
>
>

At least in the Xenwiki, it seems not to be listed yet:
I searched http://xenharmonic.wikispaces.com/space/content?tag=12-tone

Any suggestions how to name it?

Am 24.06.2014 20:13, schrieb Magnus Jonsson jmagnusj@... [TUNING]:
> 19/16 and 24/19 are very close to 12-edo. Actually the whole sequence
> 16:17:18:19 is very close to 12-edo.
>
>
> On Sat, Jun 21, 2014 at 5:08 PM, cuallito@... [TUNING] <
> TUNING@yahoogroups.com> wrote:
>
>>
>> So I came up with this, has anyone else already discovered/invented it? I
>> think all the modes/keys sound nice in it...
>>
>>
>> 0: 1/1 0.000000 unison, perfect prime
>> 1: 18/17 98.954592 Arabic lute index finger
>> 2: 9/8 203.910002 major whole tone
>> 3: 19/16 297.513016 19th harmonic
>> 4: 24/19 404.441985 smaller undevicesimal major third
>> 5: 4/3 498.044999 perfect fourth
>> 6: 17/12 603.000409 2nd septendecimal tritone
>> 7: 3/2 701.955001 perfect fifth
>> 8: 19/12 795.558015 undevicesimal minor sixth
>> 9: 32/19 902.486984 19th subharmonic
>> 10: 16/9 996.089998 Pythagorean minor seventh
>> 11: 17/9 1101.045408 septendecimal major seventh
>> 12: 2/1 1200.000000 octave
>>
>>
>>
>>

I was surprised you didn't use 17/16 instead of 18/17? was there something that inspired this?

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PMFJI, but the 12th root of 2 is much closer to 18/17 than to 17/16.

Proof: Extract the 12th root of 2 (about 1.059463), subtract 1, then take the reciprocal.
The result is about 16.817, so the 12th root is nearly 17.817/16.817, or close to 18/17.