Template:MOS intro/doc: Difference between revisions

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== Parameters ==
{{dochead}}{{substitute|no}}{{lua}}
This template is used on MOS scale pages to create a consistent and descriptive introduction.
 
=== Parameters ===
The following parameters are supported:
 
{| class="wikitable"
{| class="wikitable"
|-
|-
! Parameters !! Required !! Description
! Parameters
! Required
! Description
|-
|-
| Scale Signature || Yes (optional on mos pages) || The mos's scale signature in the form "xL ys", or for non-octave mosses, <nowiki>"xL ys<p/q>"</nowiki>, "xL ys⟨p/q⟩", or "xL ys (p/q-equivalent)". If left blank and used on a mos page, then the page's title will be used.
| Scale Signature
| Yes (optional on mos pages)
| The mos's scale signature in the form "xL&nbsp;ys", or for non-octave mosses, "xL&nbsp;ys&lt;p/q&gt;", "xL&nbsp;ys⟨p/q⟩", or "xL&nbsp;ys&nbsp;(p/q-equivalent)". If left blank and used on a mos page, then the page's title will be used.
|-
|-
| Other Names || No (optional) || Any names that the mos has that isn't its scale signature. TAMNAMS names should not be entered here, as they are added by the template automatically based on the scale signature.
| Other Names
| No (optional)
| Any names that the mos has that isn't its scale signature. TAMNAMS names should not be entered here, as they are added by the template automatically based on the scale signature.
|}
|}


== Usage ==
=== Usage ===
The typical use of this template is for the introduction of a mos's page.
The typical use of this template is for the introduction of a mos's page.
<pre>{{MOS intro}}</pre>
<pre>{{MOS intro}}</pre>
=== Using a different scale signature ===
 
==== Using a different scale signature ====
If desired, a different scale signature can be entered as shown below.
If desired, a different scale signature can be entered as shown below.
<pre>{{MOS intro|Scale Signature = 5L 2s}}</pre>
<pre>{{MOS intro|Scale Signature = 5L 2s}}</pre>
{{MOS intro|Scale Signature = 5L 2s}}
 
=== Adding mos names ===
{{{{ROOTPAGENAME}}|Scale Signature = 5L 2s}}
 
===== Adding mos names =====
Mosses that are named under TAMNAMS will have their names automatically included, with the exception of equave-agnostic TAMNAMS names. To specify other names, enter them as a semicolon-delimited list as shown below. It's recommended to use only the mos's most commonly used names.
Mosses that are named under TAMNAMS will have their names automatically included, with the exception of equave-agnostic TAMNAMS names. To specify other names, enter them as a semicolon-delimited list as shown below. It's recommended to use only the mos's most commonly used names.
<pre>{{MOS intro|Scale Signature=7L 4s|Other Names=daemotonic; suprasmitonic}}</pre>
<pre>{{MOS intro|Scale Signature=7L 4s|Other Names=daemotonic; suprasmitonic}}</pre>
{{MOS intro|Scale Signature=7L 4s|Other Names=daemotonic; suprasmitonic}}
 
{{{{ROOTPAGENAME}}|Scale Signature=7L 4s|Other Names=daemotonic; suprasmitonic}}
 
Alternative names can be used in conjunction with TAMNAMS names.
Alternative names can be used in conjunction with TAMNAMS names.
<pre>{{MOS intro|Scale Signature=3L 5s|Other Names=anti-oneirotonic}}</pre>
<pre>{{MOS intro|Scale Signature=3L 5s|Other Names=anti-oneirotonic}}</pre>
{{MOS intro|Scale Signature=3L 5s|Other Names=anti-oneirotonic}}


=== Examples ===
{{{{ROOTPAGENAME}}|Scale Signature=3L 5s|Other Names=anti-oneirotonic}}
The intro text will change depending on the step count, whether it has more than one period, and what its equivalence interval (or equave) is, and whether it has a name.
 
==== Examples ====
The intro text displays information regarding the mos and its properties, such as whether it's proper (worded as "exhibiting Rothenberg propriety") and what related scale it descends from.
 
{| class="wikitable"
{| class="wikitable"
|+
!Equave
!Periods
!Intro text
|-
|-
| rowspan="3" |Octave
! Equave
|1
! Periods
|{{MOS intro|Scale Signature = 1L 6s}}
! Intro text
{{MOS intro|Scale Signature = 6L 1s}}
|-
| rowspan="3" | Octave
| 1
| {{{{ROOTPAGENAME}}|Scale Signature = 1L 6s}}
{{{{ROOTPAGENAME}}|Scale Signature = 6L 1s}}
|-
|-
|2
| 2
|{{MOS intro|Scale Signature = 6L 4s}}
| {{{{ROOTPAGENAME}}|Scale Signature = 6L 4s}}
|-
|-
|3 or more
| 3 or more
|{{MOS intro|Scale Signature = 3L 3s}}
| {{{{ROOTPAGENAME}}|Scale Signature = 3L 3s}}
|-
|-
| rowspan="3" |Non-octave
| rowspan="3" | Non-octave
|1
| 1
|{{MOS intro|Scale Signature = 1L 8s<3/1>}}
| {{{{ROOTPAGENAME}}|Scale Signature = 1L 8s<3/1>}}
{{MOS intro|Scale Signature = 8L 1s<3/1>}}
{{{{ROOTPAGENAME}}|Scale Signature = 8L 1s<3/1>}}
|-
|-
|2
| 2
|{{MOS intro|Scale Signature = 6L 4s <3/1>}}
| {{{{ROOTPAGENAME}}|Scale Signature = 6L 4s <3/1>}}
|-
|-
|3 or more
| 3 or more
|{{MOS intro|Scale Signature = 3L 3s <3/1>}}
| {{{{ROOTPAGENAME}}|Scale Signature = 3L 3s <3/1>}}
|}
|}


== Limitations ==
{| class="wikitable"
|-
! Mos descendants
! Intro text
|-
| Parent
| {{{{ROOTPAGENAME}}|Scale Signature=5L 2s}}
|-
| Child scales
| {{{{ROOTPAGENAME}}|Scale Signature=7L 5s}}
{{{{ROOTPAGENAME}}|Scale Signature=5L 7s}}
|-
| Grandchild scales
| {{{{ROOTPAGENAME}}|Scale Signature=7L 12s}}
 
{{{{ROOTPAGENAME}}|Scale Signature=12L 7s}}
 
{{{{ROOTPAGENAME}}|Scale Signature=12L 5s}}
 
{{{{ROOTPAGENAME}}|Scale Signature=5L 12s}}
|-
| Great-grandchild scales
| {{{{ROOTPAGENAME}}|Scale Signature=7L 19s}}
 
{{{{ROOTPAGENAME}}|Scale Signature=19L 7s}}
 
{{{{ROOTPAGENAME}}|Scale Signature=19L 12s}}
 
{{{{ROOTPAGENAME}}|Scale Signature=12L 19s}}
 
{{{{ROOTPAGENAME}}|Scale Signature=12L 17s}}
 
{{{{ROOTPAGENAME}}|Scale Signature=17L 12s}}
 
{{{{ROOTPAGENAME}}|Scale Signature=17L 5s}}
 
{{{{ROOTPAGENAME}}|Scale Signature=5L 17s}}
|-
| 4th-order descendant
| {{{{ROOTPAGENAME}}|Scale Signature=22L 5s}}
 
{{{{ROOTPAGENAME}}|Scale Signature=5L 22s}}
|}
<!--
=== Limitations ===
Currently none.
Currently none.
 
-->
[[Category:Template documentation]]

Latest revision as of 21:39, 25 May 2025

This template should not be substituted.
This template uses Lua:

This template is used on MOS scale pages to create a consistent and descriptive introduction.

Parameters

The following parameters are supported:

Parameters Required Description
Scale Signature Yes (optional on mos pages) The mos's scale signature in the form "xL ys", or for non-octave mosses, "xL ys<p/q>", "xL ys⟨p/q⟩", or "xL ys (p/q-equivalent)". If left blank and used on a mos page, then the page's title will be used.
Other Names No (optional) Any names that the mos has that isn't its scale signature. TAMNAMS names should not be entered here, as they are added by the template automatically based on the scale signature.

Usage

The typical use of this template is for the introduction of a mos's page. 

{{MOS intro}}

Using a different scale signature

If desired, a different scale signature can be entered as shown below. 

{{MOS intro|Scale Signature = 5L 2s}}

5L 2s, named diatonic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 2 small steps, repeating every octave. Generators that produce this scale range from 685.7 ¢ to 720 ¢, or from 480 ¢ to 514.3 ¢.

Adding mos names

Mosses that are named under TAMNAMS will have their names automatically included, with the exception of equave-agnostic TAMNAMS names. To specify other names, enter them as a semicolon-delimited list as shown below. It's recommended to use only the mos's most commonly used names. 

{{MOS intro|Scale Signature=7L 4s|Other Names=daemotonic; suprasmitonic}}

7L 4s, also called daemotonic or suprasmitonic, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 4 small steps, repeating every octave. 7L 4s is a child scale of 4L 3s, expanding it by 4 tones. Generators that produce this scale range from 327.3 ¢ to 342.9 ¢, or from 857.1 ¢ to 872.7 ¢.

Alternative names can be used in conjunction with TAMNAMS names. 

{{MOS intro|Scale Signature=3L 5s|Other Names=anti-oneirotonic}}

3L 5s, named checkertonic in TAMNAMS (also known as anti-oneirotonic), is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 5 small steps, repeating every octave. Generators that produce this scale range from 750 ¢ to 800 ¢, or from 400 ¢ to 450 ¢.

Examples

The intro text displays information regarding the mos and its properties, such as whether it's proper (worded as "exhibiting Rothenberg propriety") and what related scale it descends from.

Equave Periods Intro text
Octave 1 1L 6s, named onyx in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 6 small steps, repeating every octave. Generators that produce this scale range from 1028.6 ¢ to 1200 ¢, or from 0 ¢ to 171.4 ¢.

6L 1s, named archaeotonic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 1 small step, repeating every octave. Generators that produce this scale range from 171.4 ¢ to 200 ¢, or from 1000 ¢ to 1028.6 ¢. Scales of this form are always proper because there is only one small step.

2 6L 4s, named lemon in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 4 small steps, with a period of 3 large steps and 2 small steps that repeats every 600.0 ¢, or twice every octave. Generators that produce this scale range from 360 ¢ to 400 ¢, or from 200 ¢ to 240 ¢.
3 or more 3L 3s, named triwood in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 3 small steps, with a period of 1 large step and 1 small step that repeats every 400.0 ¢, or 3 times every octave. Generators that produce this scale range from 200 ¢ to 400 ¢, or from 0 ¢ to 200 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.
Non-octave 1 1L 8s⟨3/1⟩ is a 3/1-equivalent (tritave-equivalent) moment of symmetry scale containing 1 large step and 8 small steps, repeating every interval of 3/1 (1902.0 ¢). Generators that produce this scale range from 1690.6 ¢ to 1902 ¢, or from 0 ¢ to 211.3 ¢.

8L 1s⟨3/1⟩ is a 3/1-equivalent (tritave-equivalent) moment of symmetry scale containing 8 large steps and 1 small step, repeating every interval of 3/1 (1902.0 ¢). Generators that produce this scale range from 211.3 ¢ to 237.7 ¢, or from 1664.2 ¢ to 1690.6 ¢. Scales of this form are always proper because there is only one small step.

2 6L 4s⟨3/1⟩ is a 3/1-equivalent (tritave-equivalent) moment of symmetry scale containing 6 large steps and 4 small steps, with a period of 3 large steps and 2 small steps that repeats every 951.0 ¢, or twice every interval of 3/1 (1902.0 ¢). Generators that produce this scale range from 570.6 ¢ to 634 ¢, or from 317 ¢ to 380.4 ¢.
3 or more 3L 3s⟨3/1⟩ is a 3/1-equivalent (tritave-equivalent) moment of symmetry scale containing 3 large steps and 3 small steps, with a period of 1 large step and 1 small step that repeats every 634.0 ¢, or 3 times every interval of 3/1 (1902.0 ¢). Generators that produce this scale range from 317 ¢ to 634 ¢, or from 0 ¢ to 317 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.
Mos descendants Intro text
Parent 5L 2s, named diatonic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 2 small steps, repeating every octave. Generators that produce this scale range from 685.7 ¢ to 720 ¢, or from 480 ¢ to 514.3 ¢.
Child scales 7L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 5 small steps, repeating every octave. 7L 5s is a child scale of 5L 2s, expanding it by 5 tones. Generators that produce this scale range from 500 ¢ to 514.3 ¢, or from 685.7 ¢ to 700 ¢.

5L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 7 small steps, repeating every octave. 5L 7s is a child scale of 5L 2s, expanding it by 5 tones. Generators that produce this scale range from 700 ¢ to 720 ¢, or from 480 ¢ to 500 ¢.

Grandchild scales 7L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 12 small steps, repeating every octave. 7L 12s is a grandchild scale of 5L 2s, expanding it by 12 tones. Generators that produce this scale range from 505.3 ¢ to 514.3 ¢, or from 685.7 ¢ to 694.7 ¢.

12L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 7 small steps, repeating every octave. 12L 7s is a grandchild scale of 5L 2s, expanding it by 12 tones. Generators that produce this scale range from 694.7 ¢ to 700 ¢, or from 500 ¢ to 505.3 ¢.

12L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 5 small steps, repeating every octave. 12L 5s is a grandchild scale of 5L 2s, expanding it by 10 tones. Generators that produce this scale range from 494.1 ¢ to 500 ¢, or from 700 ¢ to 705.9 ¢.

5L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 12 small steps, repeating every octave. 5L 12s is a grandchild scale of 5L 2s, expanding it by 10 tones. Generators that produce this scale range from 705.9 ¢ to 720 ¢, or from 480 ¢ to 494.1 ¢.

Great-grandchild scales 7L 19s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 19 small steps, repeating every octave. 7L 19s is a great-grandchild scale of 5L 2s, expanding it by 19 tones. Generators that produce this scale range from 507.7 ¢ to 514.3 ¢, or from 685.7 ¢ to 692.3 ¢.

19L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 7 small steps, repeating every octave. 19L 7s is a great-grandchild scale of 5L 2s, expanding it by 19 tones. Generators that produce this scale range from 692.3 ¢ to 694.7 ¢, or from 505.3 ¢ to 507.7 ¢.

19L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 12 small steps, repeating every octave. 19L 12s is a great-grandchild scale of 5L 2s, expanding it by 24 tones. Generators that produce this scale range from 503.2 ¢ to 505.3 ¢, or from 694.7 ¢ to 696.8 ¢.

12L 19s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 19 small steps, repeating every octave. 12L 19s is a great-grandchild scale of 5L 2s, expanding it by 24 tones. Generators that produce this scale range from 696.8 ¢ to 700 ¢, or from 500 ¢ to 503.2 ¢.

12L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 17 small steps, repeating every octave. 12L 17s is a great-grandchild scale of 5L 2s, expanding it by 22 tones. Generators that produce this scale range from 496.6 ¢ to 500 ¢, or from 700 ¢ to 703.4 ¢.

17L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 12 small steps, repeating every octave. 17L 12s is a great-grandchild scale of 5L 2s, expanding it by 22 tones. Generators that produce this scale range from 703.4 ¢ to 705.9 ¢, or from 494.1 ¢ to 496.6 ¢.

17L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 5 small steps, repeating every octave. 17L 5s is a great-grandchild scale of 5L 2s, expanding it by 15 tones. Generators that produce this scale range from 490.9 ¢ to 494.1 ¢, or from 705.9 ¢ to 709.1 ¢.

5L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 17 small steps, repeating every octave. 5L 17s is a great-grandchild scale of 5L 2s, expanding it by 15 tones. Generators that produce this scale range from 709.1 ¢ to 720 ¢, or from 480 ¢ to 490.9 ¢.

4th-order descendant 22L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 22 large steps and 5 small steps, repeating every octave. 22L 5s is related to 5L 2s, expanding it by 20 tones. Generators that produce this scale range from 488.9 ¢ to 490.9 ¢, or from 709.1 ¢ to 711.1 ¢.

5L 22s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 22 small steps, repeating every octave. 5L 22s is related to 5L 2s, expanding it by 20 tones. Generators that produce this scale range from 711.1 ¢ to 720 ¢, or from 480 ¢ to 488.9 ¢.

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