User:Ganaram inukshuk/Sandbox
This is a sandbox page for me (Ganaram) to test out a few things before deploying things. (Expect some mess.)
Sandbox for proposed templates
Infobox MOS with audio examples
| ↖4L 1s | ↑5L 1s | 6L 1s↗ |
| ←4L 2s | 5L 2s | 6L 2s→ |
| ↙4L 3s | ↓5L 3s | 6L 3s↘ |
JI ratio intro
For general ratios: m/n, also called interval-name, is a p-limit just intonation ratio of exactly/about r¢.
For harmonics: m/1, also called interval-name, is a just intonation ration that represents the mth harmonic of exactly/about r¢.
MOS step sizes
| Interval | Basic 3L 4s
(10edo, L:s = 2:1) |
Hard 3L 4s
(13edo, L:s = 3:1) |
Soft 3L 4s
(17edo, L:s = 3:2) |
Approx. JI ratios | |||
|---|---|---|---|---|---|---|---|
| Steps | Cents | Steps | Cents | Steps | Cents | ||
| Large step | 2 | 240¢ | 3 | 276.9¢ | 3 | 211.8¢ | Hide column if no ratios given |
| Small step | 1 | 120¢ | 1 | 92.3¢ | 2 | 141.2¢ | |
| Bright generator | 3 | 360¢ | 4 | 369.2¢ | 5 | 355.6¢ | |
Notes:
- Allow option to show the bright generator, dark generator, or no generator.
- JI ratios column only shows if there are any ratios to show
Expanded MOS intro
The following pieces of information may be worth adding:
- Distinguishing between TAMNAMS names from other, noteworthy non-TAMNAMS names. Equave-agnostic names can be treated as TAMNAMS name for appropriate mosses (EG, 4L 1s).
- The specific step pattern for the true mos. (The template will have a link to the page for rotations.)
- Simple edos (or ed<p/q>) that support the mos.
- Support for TAMEX names, or how the mos relates to another, ancestral TAMNAMS-named mos. Extensions include chromatic, enharmonic, subchromatic, and descendant. This requires standardizing the naming scheme for descendant mosses before it can be added.
- TAMEX is short for temperament-agnostic moment-of-symmetry scale extension naming system.
- Whether the mos exhibits Rothenberg propriety.
Base wording
xL ys<p/q>, named mosname (also called alt-mosname), is a(n) equave-equivalent moment-of-symmetry scale containing x large steps(s) and y small step(s), repeating every equave. Modes of this scale are based on the step pattern of step-pattern. Equal divisions of the equave that support this scale include basic-ed, hard-ed, and soft-ed. Generators that produce this scale range from g1¢ to g2¢, or from d1¢ or d2¢.
nxL nys<p/q>, named mosname (also called alt-mosname), is a(n) equave-equivalent moment-of-symmetry scale, containing nx large steps(s) and ny small step(s), with a period of x large step(s) and y small steps(s) that repeats every equave-fraction, or n times every equave. Modes of this scale are based on the step pattern of step-pattern. Equal divisions of the equave that support this scale include basic-ed, hard-ed, and soft-ed. Generators that produce this scale range from g1¢ to g2¢, or from d1¢ or d2¢.
Supplemental info
For monosmall and monosmall-per-period mosses: Scales of this form always exhibit Rothenberg propriety because there is only one small step per period.
For mosses that descend from a TAMNAMS-named mos: xL ys<p/q> is a kth-order descendant scale of zL ws<p/q>, an extension of zL ws<p/q> scales with a step-ratio-range step ratio.
Examples
5L 7s, also called p-chromatic, is an octave-equivalent moment of symmetry scale containing 5 large steps and 7 small steps, repeating every octave. 5L 7s is a chromatic scale of 5L 2s, an extension of 5L 2s scales with a hard-of-basic step ratio. Equal divisions of the octave that support this scale's step pattern include 17edo, 22edo, and 29edo. Generators that produce this scale range from 700¢ to 720¢, or from 480¢ to 500¢.
Mbox template test
These would be their own templates.
Mos ancestors and descendants
| 2nd ancestor | 1st ancestor | Mos | 1st descendants | 2nd descendants |
|---|---|---|---|---|
| uL vs | zL ws | xL ys | xL (x+y)s | xL (2x+y)s |
| (2x+y)L xs | ||||
| (x+y)L xs | (2x+y)L (x+y)s | |||
| (x+y)L (2x+y)s |