Template:MOS intervals

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This template uses Lua: Module: MOS intervals

This template creates a table of a MOS scale's intervals and their relative qualities.

Parameters

The following parameters are supported:

Parameter	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.
MOS Prefix	No (optional)	The prefix for the mos, if it has one. The scale's TAMNAMS prefix will be used if left blank; otherwise, it will default to "mos".
MOS Abbrev	No (optional)	The abbreviation for the mos, if it has one. The scale's TAMNAMS abbreviation will be used if left blank; otherwise, it will default to "m".
Interval Notation	Deprecated	The scheme for naming intervals. Options include TAMNAMS mosstep naming and ordinal naming (EG, the unison is either called the 0-mosstep or 1st).

Usage

The typical use of this template is for showing a mos's interval varieties and their qualities.

{{MOS intervals}}

Using a different scale signature

A scale signature different from the page's title can be entered as shown.

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

Intervals of 5L 2s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-diastep	Perfect 0-diastep	P0dias	0	0.0 ¢
1-diastep	Minor 1-diastep	m1dias	s	0.0 ¢ to 171.4 ¢
	Major 1-diastep	M1dias	L	171.4 ¢ to 240.0 ¢
2-diastep	Minor 2-diastep	m2dias	L + s	240.0 ¢ to 342.9 ¢
	Major 2-diastep	M2dias	2L	342.9 ¢ to 480.0 ¢
3-diastep	Perfect 3-diastep	P3dias	2L + s	480.0 ¢ to 514.3 ¢
	Augmented 3-diastep	A3dias	3L	514.3 ¢ to 720.0 ¢
4-diastep	Diminished 4-diastep	d4dias	2L + 2s	480.0 ¢ to 685.7 ¢
	Perfect 4-diastep	P4dias	3L + s	685.7 ¢ to 720.0 ¢
5-diastep	Minor 5-diastep	m5dias	3L + 2s	720.0 ¢ to 857.1 ¢
	Major 5-diastep	M5dias	4L + s	857.1 ¢ to 960.0 ¢
6-diastep	Minor 6-diastep	m6dias	4L + 2s	960.0 ¢ to 1028.6 ¢
	Major 6-diastep	M6dias	5L + s	1028.6 ¢ to 1200.0 ¢
7-diastep	Perfect 7-diastep	P7dias	5L + 2s	1200.0 ¢

Changing the mos prefix and abbreviation

By default, the mos prefix is "mos". The prefix for the mos can be changed as shown below.

{{MOS intervals|Scale Signature=2L 5s|MOS Prefix=pel|MOS Abbrev=pel}}

Intervals of 2L 5s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-pelstep	Perfect 0-pelstep	P0pels	0	0.0 ¢
1-pelstep	Minor 1-pelstep	m1pels	s	0.0 ¢ to 171.4 ¢
	Major 1-pelstep	M1pels	L	171.4 ¢ to 600.0 ¢
2-pelstep	Minor 2-pelstep	m2pels	2s	0.0 ¢ to 342.9 ¢
	Major 2-pelstep	M2pels	L + s	342.9 ¢ to 600.0 ¢
3-pelstep	Diminished 3-pelstep	d3pels	3s	0.0 ¢ to 514.3 ¢
	Perfect 3-pelstep	P3pels	L + 2s	514.3 ¢ to 600.0 ¢
4-pelstep	Perfect 4-pelstep	P4pels	L + 3s	600.0 ¢ to 685.7 ¢
	Augmented 4-pelstep	A4pels	2L + 2s	685.7 ¢ to 1200.0 ¢
5-pelstep	Minor 5-pelstep	m5pels	L + 4s	600.0 ¢ to 857.1 ¢
	Major 5-pelstep	M5pels	2L + 3s	857.1 ¢ to 1200.0 ¢
6-pelstep	Minor 6-pelstep	m6pels	L + 5s	600.0 ¢ to 1028.6 ¢
	Major 6-pelstep	M6pels	2L + 4s	1028.6 ¢ to 1200.0 ¢
7-pelstep	Perfect 7-pelstep	P7pels	2L + 5s	1200.0 ¢

See also

• Template:MOS degrees – The template that shows a MOS's cent values for a step ratio.
• Template:MOS interval HE – A similar template for displaying each interval's harmonic entropy.