Lambda ups and downs notation: Difference between revisions
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'''Lambda ups and downs notation'' is | '''Lambda ups and downs notation''' is a [[nonoctave]] extension of [[ups and downs notation]] developed by [[User:CompactStar|CompactStar]], for use in [[EDT]]s and no-twos [[rank-2 temperament]]s. It combines ups and downs notation with the preexisting notation for the 9-note Lambda scale ([[4L 5s (3/1-equivalent)|4L 5s<3/1>]]) in [[13edt]]. | ||
== Explanation == | |||
The 5|3 mode of the Lambda scale is written with 9 naturals CDEFGHJAB. Two modules of accidentals are used as in ups and downs notation, #/b are used to raise and lower by one chroma, and ^/v are used to raise and lower by . Following the [[TAMNAMS#Naming_mos_intervals|TAMNAMS convention]] for non-diatonic mosses, an interval that is k steps of lambda wide is referred to as a "k-mosstep" (e.g. a unison is a 0-mosstep and a tritave is a 9-mosstep). With the exception of the interval classes of ~[[7/3]] and ~[[9/7]] (the generators of the Lambda scale), large intervals use the "major" quality and small intervals use the "minor" quality. Additionally, "mid" is used for intervals halfway between major and minor, perfect and diminished, or perfect and augmented. Like with the accidentals, "up"/"down" can be prefixed to a quality to denote raising or lowering by 1 EDT-step. | |||
== Examples == | |||
{| class="wikitable" style="text-align:center;" | |||
| rowspan="2" |[[13edt]] | |||
Basic Lambda | |||
|- | |||
|C | |||
|D | |||
|D#, Eb | |||
| | |||
|- | |||
|P1 | |||
|A1/m2 | |||
|M2 | |||
|m3 | |||
|M3 | |||
|P4 | |||
|A4/d5 | |||
|P5 | |||
|m6 | |||
|M6 | |||
|m7 | |||
|M7 | |||
|P8 | |||
|} | |||
Revision as of 01:19, 4 July 2023
Lambda ups and downs notation is a nonoctave extension of ups and downs notation developed by CompactStar, for use in EDTs and no-twos rank-2 temperaments. It combines ups and downs notation with the preexisting notation for the 9-note Lambda scale (4L 5s<3/1>) in 13edt.
Explanation
The 5|3 mode of the Lambda scale is written with 9 naturals CDEFGHJAB. Two modules of accidentals are used as in ups and downs notation, #/b are used to raise and lower by one chroma, and ^/v are used to raise and lower by . Following the TAMNAMS convention for non-diatonic mosses, an interval that is k steps of lambda wide is referred to as a "k-mosstep" (e.g. a unison is a 0-mosstep and a tritave is a 9-mosstep). With the exception of the interval classes of ~7/3 and ~9/7 (the generators of the Lambda scale), large intervals use the "major" quality and small intervals use the "minor" quality. Additionally, "mid" is used for intervals halfway between major and minor, perfect and diminished, or perfect and augmented. Like with the accidentals, "up"/"down" can be prefixed to a quality to denote raising or lowering by 1 EDT-step.
Examples
| 13edt
Basic Lambda | ||||||||||||
| C | D | D#, Eb | ||||||||||
| P1 | A1/m2 | M2 | m3 | M3 | P4 | A4/d5 | P5 | m6 | M6 | m7 | M7 | P8 |