User:Ganaram inukshuk/Sandbox: Difference between revisions

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Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
4,810 edits
Wrote out every possible et/ed intro, based on what already exists on the wiki
Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
4,810 edits
Testing what if infobox mos had xenpaper links
Line 3: Line 3:
== Sandbox for proposed templates ==
== Sandbox for proposed templates ==


===Generalized ET/ED intro===
===Infobox MOS with audio examples===
The intro displayed depends on the equave being divided.
<div style="
* Common abbreviations
border: 1px solid #999;
** edo: '''''k'' equal divisions of the octave''' (abbreviated '''''k''edo''' or '''''k''ed2'''), also called '''''k''-tone equal temperament''' ('''''k''tet''') or '''''k'' equal temperament''' ('''''k''et''') when viewed under a regular temperament perspective, is the tuning system that divides the octave into ''k'' equal parts of exactly/about s¢ each. Each step of kedo represents a frequency ratio of 2<sup>1/''k''</sup>, or the ''k''th root of 2.
margin: 0;
** edt: '''''k'' equal divisions of the tritave''' or '''twelfth''' (abbreviated '''''k''edt''' or '''''k''ed3''') is a non-octave tuning system that divides the 3rd harmonic, or 3/1, into ''k'' equal parts of exactly/about s¢ each. Each step of ''k''edo represents a frequency ratio of 3<sup>1/''k''</sup>, or the ''k''th root of 3.
margin-left: 1em;
** edf: '''''k'' equal divisions of the fifth''' (abbreviated '''''k''edf''' or '''''k''ed3/2''') is a non-octave tuning system that divides the perfect fifth, or 3/2, into ''k'' equal parts of exactly/about s¢ each. Each step of ''k''edo represents a frequency ratio of (3/2)<sup>1/''k''</sup>, or the ''k''th root of 3/2.
margin-bottom: 0.5em;
* Equal divisions of a harmonic
padding: 0.5em;
** ed2: same as edo
background-color: #f0f0f0;
** ed3: same as edt
min-width: 15em;
** ed''h'': '''''k'' equal divisions of the ''h''th harmonic''' (abbreviated '''''k''ed''h''''') is a non-octave tuning system that divides the ''h''th harmonic, or ''h''/1, into ''k'' equal parts of exactly/about s¢ each. Each step of ''k''edh represents a frequency ratio of ''h''<sup>1/''k''</sup>, or the ''k''th root of ''h''.
float: right;
* Equal divisions of an arbitrary ratio ''p''/''q''
max-width: 100%;
** ed''p''/''q'': '''''k'' equal divisions of ''p''/''q''''' (abbreviated '''''k''ed''p''/''q''''') is a non-octave tuning system that divides ''p''/''q'' into ''k'' equal pieces of exactly/about s¢ each. Each step of ''k''ed''p''/''q'' represents the frequency ratio of (''p''/''q'')<sup>1/''k''</sup>, or the ''k''th root of ''p''/''q''.
overflow: auto;
* Equal divisions of an arbitrary constant c
">
** ed''c'': '''''k'' equal divisions of ''c''''' (abbreviated '''''k''edc''') is a non-octave tuning system where the interval of r¢ is divided into ''k'' equal pieces of exactly/about s¢ each. Each step of ''k''ed''c'' represents the frequency ratio of ''c''<sup>1/''k''</sup>, or the ''k''th root of ''c''.
{| width="100%" style="border-collapse: collapse;"
* Equal-step tunings - special cases of the above where there is only one division of the harmonic, ratio, or cent value; more typical of intervals smaller than 2/1.
|+ 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="
** 1ed''p''/''q'' - '''1 equal division of ''p''/''q''''' (abbreviated '''1ed''p''/''q'''''), also known as '''ambitonal sequence of ''p''/''q''''' (abbreviated '''AS''p''/''q''''') or '''''p''/''q'' equal-step tuning''', is a non-octave tuning system where adjacent pitches are ''p''/''q'', or exactly/about s¢, apart.
width: 50%; padding-left: 1em; padding-right: 1em; text-align: center; font-size: smaller">[[5L 1s|↑5L 1s]]
** 1ed''c''¢ - '''1 equal division of ''c''¢''' (abbreviated '''1ed''c''¢''' or '''1ed''c''c'''), also known as '''arithmetic pitch sequence of c¢''' (abbreviated '''APS''c''¢''') or '''''c''cET''', is a non-octave tuning system where adjacent pitches are ''c''¢, apart.
</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</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¢)
|-
| 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¢)
|-
| 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¢)
|-
| 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¢)
|-
| 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¢)
|-
| 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¢)
|-
| 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¢)
|-
|colspan="2" style="text-align:center;"| [https://xenpaper.com/#%7B12ed3%2F1%7D%0A%7Bm_2_2_2_1_2_2_1%7D%0A0--_1--_2--_3--_4--_5--_6--_7--- Basic tuning on Xenpaper]
|-
|colspan="2" style="text-align:center;"| [https://xenpaper.com/#%7B12ed3%2F1%7D%0A%7Bm_3_3_3_2_3_3_2%7D%0A0--_1--_2--_3--_4--_5--_6--_7--- Soft tuning on Xenpaper]
|-
|colspan="2" style="text-align:center;"| [https://xenpaper.com/#%7B12ed3%2F1%7D%0A%7Bm_3_3_3_1_3_3_1%7D%0A0--_1--_2--_3--_4--_5--_6--_7--- Hard tuning on Xenpaper]
|}</div>[[Category:Abstract MOS patterns]]
 


===JI ratio intro===
===JI ratio intro===

Revision as of 08:16, 29 January 2024

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 2s5L 2s6L 2s→
↙4L 3s↓5L 3s 6L 3s↘
Brightest mode LLLsLLs
Period 2/1
Range for bright generator 4\7 (685.7¢) to 3\5 (720¢)
Range for dark generator 2\5 (480¢) to 3\7 (514.3¢)
TAMNAMS name diatonic
TAMNAMS prefix dia-
Parent MOS 2L 3s
Sister MOS 2L 5s
Daughter MOSes 7L 5s, 5L 7s
Equal tunings
Supersoft (L:s = 4:3) 15\26 (692.3¢)
Soft (L:s = 3:2) 11\19 (694.7¢)
Semisoft (L:s = 5:3) 18\31 (696.8¢)
Basic (L:s = 2:1) 7\12 (700¢)
Semihard (L:s = 5:2) 17\29 (703.4¢)
Hard (L:s = 3:1) 10\17 (705.9¢)
Superhard (L:s = 4:1) 13\22 (709.1¢)
Basic tuning on Xenpaper
Soft tuning on Xenpaper
Hard tuning on Xenpaper


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

3L 4s 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
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