Mystery

family name: mystery
period: 1/29 octave
generator: 81/80, 10/9, 6/5, 5/4, 3/2 etc.

3-limit comma: <46 -29|

7-limit

name: mystery
wedgie: <<0 29 29 46 46 -14||
mapping: [<29 46 67 81|, <0 0 1 1|]
poptimal generators: the 7 and 9 limits both reduce to a single value.
11/812 for the 7-limit and 23/1624 for the 9-limit should suffice
TOP period: 41.369
TOP generator: 16.088
TM basis: {5120/5103, 50421/50000}
MOS: 58, 87, 145

11-limit

name: mystery
wedgie: <<0 29 29 29 46 46 46 -14 -33 -19||
mapping: [<29 46 67 81 100|, <0 0 1 1 1|]
poptimal generator: 2/145
TOP period: 41.369
TOP generator: 16.078
TM basis: {441/440, 896/891, 3388/3375}
MOS: 58, 87, 145

13-limit

name: mystery
wedgie: <<0 29 29 29 29 46 46 46 46 -14 -33 -40 -19 -26 -7||
mapping: [<29 46 67 81 100|, <0 0 1 1 1|]
poptimal generator: 5/377
TOP period: 41.369
TOP generator: 16.078
TM basis: {196/195, 352/351, 364/363, 676/675}
MOS: 58, 87, 145, 232, 377

hi Gene,

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

> family name: mystery
> period: 1/29 octave
> generator: 81/80, 10/9, 6/5, 5/4, 3/2 etc.
>
> 3-limit comma: <46 -29|
>
> 7-limit
>
> <snip>

is there no 5-limit version of mystery?

-monz
http://tonalsoft.com
microtonal music software

--- In tuning-math@yahoogroups.com, "monz" <monz@t...> wrote:

> is there no 5-limit version of mystery?

Sure. The TOP tuning is a little different. There are slight errors in
my previous version, so this should be used instead.

family name: mystery
period: 1/29 octave
generator: 81/80, 10/9, 6/5, 5/4, 3/2 etc.

3-limit comma: <46 -29|

5-limit

name: mystery
comma: |46 -29 0>
mapping: [<29 46 67|, <0 0 1|]
poptimal generator: the 5 limit reduces to a single value. 17/1392
should suffice.
TOP period: 41.363
TOP generator: 14.988
MOS: 58, 87, 145, 232, 528

7-limit

name: mystery
wedgie: <<0 29 29 46 46 -14||
mapping: [<29 46 67 81|, <0 0 1 1|]
poptimal generators: the 7 and 9 limits both reduce to a single value.
11/812 for the 7-limit and 23/1624 for the 9-limit should suffice.
TOP period: 41.369
TOP generator: 16.084
TM basis: {5120/5103, 50421/50000}
MOS: 58, 87, 145

11-limit

name: mystery
wedgie: <<0 29 29 29 46 46 46 -14 -33 -19||
mapping: [<29 46 67 81 100|, <0 0 1 1 1|]
poptimal generator: 2/145
TOP period: 41.369
TOP generator: 16.084
TM basis: {441/440, 896/891, 3388/3375}
MOS: 58, 87, 145

13-limit

name: mystery
wedgie: <<0 29 29 29 29 46 46 46 46 -14 -33 -40 -19 -26 -7||
mapping: [<29 46 67 81 100 107|, <0 0 1 1 1 1|]
poptimal generator: 5/377
TOP period: 41.369
TOP generator: 16.084
TM basis: {196/195, 352/351, 364/363, 676/675}
MOS: 58, 87, 145, 232, 377