|
|
Line 2: |
Line 2: |
|
| |
|
| == Sandbox for proposed templates == | | == Sandbox for proposed templates == |
|
| |
| ===Infobox MOS with audio examples===
| |
| <div style="
| |
| border: 1px solid #999;
| |
| margin: 0;
| |
| margin-left: 1em;
| |
| margin-bottom: 0.5em;
| |
| padding: 0.5em;
| |
| background-color: #f0f0f0;
| |
| min-width: 15em;
| |
| float: right;
| |
| max-width: 100%;
| |
| overflow: auto;
| |
| ">
| |
| {| width="100%" style="border-collapse: collapse;"
| |
| |+ style="font-weight: bold; text-align: center;" | <table style="width: 100%; margin: 0"><tr><td style="width: 15%; text-align: left; white-space: nowrap; font-size: smaller">[[4L 1s|↖4L 1s]]</td><td style="
| |
| width: 50%; padding-left: 1em; padding-right: 1em; text-align: center; font-size: smaller">[[5L 1s|↑5L 1s]]
| |
| </td><td style="width: 15%; text-align: right; white-space: nowrap; font-size: smaller">[[6L 1s|6L 1s↗]]</td>
| |
| <tr><td style="width: 15%; text-align: left; white-space: nowrap; font-size: smaller">[[4L 2s|←4L 2s]]</td><td style="width: 50%; padding-left: 1em; padding-right: 1em; text-align: center">5L 2s</td><td style="width: 15%; text-align: right; white-space: nowrap; font-size: smaller">[[6L 2s|6L 2s→]]</td></tr><tr><td style="width: 15%; text-align: left; white-space: nowrap; font-size: smaller">[[4L 3s|↙4L 3s]]</td><td style="
| |
| width: 50%; padding-left: 1em; padding-right: 1em; text-align: center; font-size: smaller">[[5L 3s|↓5L 3s]]
| |
| </td><td style="width: 15%; text-align: right; white-space: nowrap; font-size: smaller">[[6L 3s|6L 3s↘]]</td></tr></table>
| |
| |-
| |
| | style="text-align:right; padding-right: 0.25em" | Brightest mode
| |
| | style="background-color: white; padding-left: 0.25em; font-weight: bold" | LLLsLLs
| |
| |-
| |
| | style="text-align:right; padding-right: 0.25em" | Period
| |
| | style="background-color: white; padding-left: 0.25em; font-weight: bold" | 2/1
| |
| |-
| |
| | style="text-align:right; padding-right: 0.25em" | Range for [[bright]] [[generator]]
| |
| | style="background-color: white; padding-left: 0.25em; font-weight: bold" | 4\7 (685.7¢) to 3\5 (720¢)
| |
| |-
| |
| | style="text-align:right; padding-right: 0.25em" | Range for [[dark]] [[generator]]
| |
| | style="background-color: white; padding-left: 0.25em; font-weight: bold" | 2\5 (480¢) to 3\7 (514.3¢)
| |
| |-
| |
| | style="text-align:right; padding-right: 0.25em" | [[TAMNAMS#Mos pattern names|TAMNAMS name]]
| |
| | style="background-color: white; padding-left: 0.25em; font-weight: bold" | diatonic
| |
| |-
| |
| | style="text-align:right; padding-right: 0.25em" | [[TAMNAMS#Mos pattern names|TAMNAMS prefix]]
| |
| | style="background-color: white; padding-left: 0.25em; font-weight: bold" | dia-
| |
| |-
| |
| | style="text-align:right; padding-right: 0.25em" | Parent MOS
| |
| | style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[2L 3s|2L 3s]]
| |
| |-
| |
| | style="text-align:right; padding-right: 0.25em" | [[Operations on MOSes#Sister_MOS|Sister MOS]]
| |
| | style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[2L 5s|2L 5s]]
| |
| |-
| |
| | style="text-align:right; padding-right: 0.25em" | Daughter MOSes
| |
| | style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[7L 5s|7L 5s]], [[5L 7s|5L 7s]]
| |
| |-
| |
| |colspan="2" style="text-align:center;"| <b>Equal tunings and audio examples</b>
| |
| |-
| |
| | style="text-align:right; padding-right: 0.25em" | [[TAMNAMS#Step ratio spectrum|Supersoft]] (L:s = 4:3)
| |
| | style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[26edo|15\26]] (692.3¢) <small>Listen</small>
| |
| |-
| |
| | style="text-align:right; padding-right: 0.25em" | [[TAMNAMS#Step ratio spectrum|Soft]] (L:s = 3:2)
| |
| | style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[19edo|11\19]] (694.7¢) <small>Listen</small>
| |
| |-
| |
| | style="text-align:right; padding-right: 0.25em" | [[TAMNAMS#Step ratio spectrum|Semisoft]] (L:s = 5:3)
| |
| | style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[31edo|18\31]] (696.8¢) <small>Listen</small>
| |
| |-
| |
| | style="text-align:right; padding-right: 0.25em" | [[TAMNAMS#Step ratio spectrum|Basic]] (L:s = 2:1)
| |
| | style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[12edo|7\12]] (700¢) <small>Listen</small>
| |
| |-
| |
| | style="text-align:right; padding-right: 0.25em" | [[TAMNAMS#Step ratio spectrum|Semihard]] (L:s = 5:2)
| |
| | style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[29edo|17\29]] (703.4¢) <small>Listen</small>
| |
| |-
| |
| | style="text-align:right; padding-right: 0.25em" | [[TAMNAMS#Step ratio spectrum|Hard]] (L:s = 3:1)
| |
| | style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[17edo|10\17]] (705.9¢) <small>Listen</small>
| |
| |-
| |
| | style="text-align:right; padding-right: 0.25em" | [[TAMNAMS#Step ratio spectrum|Superhard]] (L:s = 4:1)
| |
| | style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[22edo|13\22]] (709.1¢) <small>Listen</small>
| |
| |}</div>[[Category:Abstract MOS patterns]]
| |
|
| |
|
| |
| ===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===
| |
| {| class="wikitable sortable"
| |
| |+3L 4s step sizes
| |
| ! rowspan="2" |Interval
| |
| ! colspan="2" | Basic 3L 4s
| |
| (10edo, L:s = 2:1)
| |
| ! colspan="2" |Hard 3L 4s
| |
| (13edo, L:s = 3:1)
| |
| ! colspan="2" |Soft 3L 4s
| |
| (17edo, L:s = 3:2)
| |
| ! rowspan="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=== | | ===Expanded MOS intro=== |
Line 153: |
Line 23: |
|
| |
|
| ====Examples ==== | | ====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¢. | | '''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===
| |
| {| class="wikitable"
| |
| !2nd ancestor
| |
| !1st ancestor
| |
| !Mos
| |
| !1st descendants
| |
| !2nd descendants
| |
| |-
| |
| | rowspan="4" |uL vs
| |
| | rowspan="4" |zL ws
| |
| | rowspan="4" |xL ys
| |
| | rowspan="2" |xL (x+y)s
| |
| |xL (2x+y)s
| |
| |-
| |
| |(2x+y)L xs
| |
| |-
| |
| | rowspan="2" |(x+y)L xs
| |
| |(2x+y)L (x+y)s
| |
| |-
| |
| |(x+y)L (2x+y)s
| |
| |}
| |
This is a sandbox page for me (Ganaram) to test out a few things before deploying things. (Expect some mess.)
Sandbox for proposed templates
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¢.