names and definitions: orwell

i already have a page about orwell at

http://tonalsoft.com/enc

but it's very much in need of amending.

fill in the blanks, and adjust, correct, argue etc.
as much as possible. feel free to add new categories
and descriptive text commentary as needed.

family name: meantone
period: 2:1 ratio
generator:
wedge product:
wedgie:
unison-vectors:
monzos, multimonzos:
vals, multivals:
badness:
MOS:
DE:
propriety:
consistency:
characteristic interval(s):
x-chordal interval structure (tetrachord, pentachord, etc.):

-monz

family name: orwell
period: octave
generator: 5/22, 7/31, 9/40, 12/53, 17/75, 19/84
TOP period = 1199.532657, generator = 271.4936472
wedgie: <<7, -3, 8, -21, -7, 27||
mapping: [<1, 0, 3, 1|, <0, 7, -3, 8|]
11-limit versions:
[<1, 0, 3, 1, 3|, <0, 7, -3, 8, 2|]
[<1, 0, 3, 1, -4|, <0, 7, -3, 8, 33|] (19/84)

Typical MOS: 9, 13, 22, 31, 53

9-note MOS:
-4 Eb+ (16/15)
-3 F#- (5/4)
-2 A-< (35/24)
-1 B> (12/7)
0 D (1/1)
+1 F< (7/6)
+2 G+> (48/35)
+3 Bb+ (8/5)
+4 C#- (15/8)

--- In tuning-math@yahoogroups.com, Herman Miller <hmiller@I...>
wrote:

I'd revise it like this; I ditched 9/40 as a suggested generator; it
is outside of the 22&31 range and not very good.

family name: orwell, 22&31
period: octave
generator: a sharp subminor third (7/6) or flat 75/64

5 limit

name: orwell, semicomma
comma: |-21 3 7>
mapping: [<1 0 3|, <0 7 -3|]
poptimal generator: 43/190
TOP period: 1200.0 generator: 271.599422
MOS: 9, 13, 22, 31, 53, 84

7 limit

name: orwell, 22&31
wedgie: <<7 -3 8 -21 -7 27||
mapping: [<1 0 3 1|, <0 7 -3 8|]
7 limit poptimal: 26/115
9 limit poptimal: 43/190
other generators: 5/22, 7/31, 12/53, 17/75, 19/84
TOP period: 1199.532657 generator: 271.493647
MOS: 9, 13, 22, 31, 53, 84

11-limit

name: george, 22&31
wedgie: <<7 -3 8 2 -21 -7 -21 27 15 -22||
mapping: [<1 0 3 1 3|, <0 7 -3 8 2|]
poptimal generator: 19/84
TOP period: 1201.251092 generator: 271.425083
MOS: 9, 13, 22, 31, 53, 84

name: orwell, 31&84
wedgie: <<7 -3 8 33 -21 -7 28 27 87 65||
mapping: [<1 0 3 1 -4|, <0 7 -3 8 33|]
TOP period: 1200.564417 generator: 271.443068
poptimal generator: 85/376
MOS: 9, 13, 22, 31, 53, 84, 115, 146

9-note MOS:
-4 Eb+ (16/15)
-3 F#- (5/4)
-2 A-< (35/24)
-1 B> (12/7)
0 D (1/1)
+1 F< (7/6)
+2 G+> (48/35)
+3 Bb+ (8/5)
+4 C#- (15/8)

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:

I forgot to add the TM basis

> 5 limit
>
> name: orwell, semicomma
> comma: |-21 3 7>
> mapping: [<1 0 3|, <0 7 -3|]
> poptimal generator: 43/190
> TOP period: 1200.0 generator: 271.599422
> MOS: 9, 13, 22, 31, 53, 84
>
> 7 limit
>
> name: orwell, 22&31
> wedgie: <<7 -3 8 -21 -7 27||
> mapping: [<1 0 3 1|, <0 7 -3 8|]
> 7 limit poptimal: 26/115
> 9 limit poptimal: 43/190
> other generators: 5/22, 7/31, 12/53, 17/75, 19/84
> TOP period: 1199.532657 generator: 271.493647
TM basis: {225/224, 1728/1715}
> MOS: 9, 13, 22, 31, 53, 84
>
> 11-limit
>
> name: george, 22&31
> wedgie: <<7 -3 8 2 -21 -7 -21 27 15 -22||
> mapping: [<1 0 3 1 3|, <0 7 -3 8 2|]
> poptimal generator: 19/84
> TOP period: 1201.251092 generator: 271.425083
TM basis: {99/98, 121/120, 176/175}
> MOS: 9, 13, 22, 31, 53, 84
>
> name: orwell, 31&84
> wedgie: <<7 -3 8 33 -21 -7 28 27 87 65||
> mapping: [<1 0 3 1 -4|, <0 7 -3 8 33|]
> poptimal generator: 85/376
> TOP period: 1200.564417 generator: 271.443068
TM basis: {225/224, 441/440, 1728/1715}
> MOS: 9, 13, 22, 31, 53, 84, 115, 146
>
> 9-note MOS:
> -4 Eb+ (16/15)
> -3 F#- (5/4)
> -2 A-< (35/24)
> -1 B> (12/7)
> 0 D (1/1)
> +1 F< (7/6)
> +2 G+> (48/35)
> +3 Bb+ (8/5)
> +4 C#- (15/8)