User:Ganaram inukshuk/Notes/TAMNAMS: Difference between revisions

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 == Proposal: Naming mosses with more than 10 steps ==
-This is a system for describing scales beyond the set of named TAMNAMS scales. Both [[User:Frostburn]] ([[User:Frostburn/TAMNAMS Extension]]) and I have similar systems, though this attempts to name mosses an arbitrary number of generations away from a named mos, not necessarily with a specific name.
+This is a system for describing scales beyond the set of named TAMNAMS scales. Both [[User:Frostburn]] ([[User:Frostburn/TAMNAMS Extension]]) and I have similar systems, with the main difference here being that mosses are technically not limited to being only three generations away.
-Note: Some names with this system are not finalized, particularly the term "mosschismic" and some of the single-letter prefixes.
+Notes:
+* Some names with this system are not finalized, particularly the term "mosschismic" and some of the single-letter prefixes.
+* Interestingly, there is evidence that another Xen Discord user ([[user:Flirora]]) suggested the same naming system described here up to 3 generations, with only slight differences with 3rd-generation names. As I was part of a discussion on limiting TAMNAMS names to 10-note mosses rather than this earlier suggestion, it's possible that the same proposal for mosenharmonic scales may have been independently developed twice.
 === Naming mosdescendants up to 3 generations ===
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 Additionally, the lack of a prefix will specifically describe the descendant scales of 5L 2s: chromatic, enharmonic, and schismic. Descendants of 5L 2s are referred to as "diatonic descendants" rather than "descendants".
-In the general case, moschromatic refers to one of two child scales, mosenharmonic refers to one of four grandchild scales, and mosschismic refers to one of eight great-grandchild scales. Specific scales can be referred to by adding an additional prefix; the table below shows those prefixes and the step ratios (of the parent mos) for which they apply. Note that the table shows all possible mosdescendant scales up to three generations, across the entire spectrum of step ratios; specifying a step ratio to any one mos will "lock" the chain of descendants to a single line.
+Single-letter prefixes for these names are optional, as the single-letter prefixes are meant for specificity. With no prefix specified, moschromatic refers to one of two child scales, mosenharmonic refers to one of four grandchild scales, and mosschismic refers to one of eight great-grandchild scales. The table below shows those prefixes and the mosdescendants for which they apply, as well as the step ratio of the parent mos needed to reach these scales.
 {| class="wikitable"
 |+Mosdescendant scales sorted by step ratio
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 === Naming mosdescendants for linearly growing scales (work-in-progress) ===
-In cases where the number of notes with each successive mosdescendant grows linearly, these mosses may be assigned a letter to refer to a specific mosdescendant. Currently, this applies to mosdescendants whose parent mos has a step ratio that is along the extreme edges of the step ratio spectrum, around pseudoequalized and pseudocollapsed. The mos family tree better shows which mosses grow linearly, shown in bold, as the upper child of each node is always xL (x+y)s, which becomes of xL (nx+y)s over n generations. Currently, only nth s-mosdescendants and nth f-mosdescendants are named this way.
+Some noteworthy mosdescendants may be more than 3 generations away, but may have the same number of large steps as a named parent mos. In such cases, the number of notes with each successive mosdescendant grows linearly, and these mosses may be assigned a letter to refer to a specific mosdescendant. Currently, this applies to mosdescendants whose parent mos has a step ratio that is along the extreme edges of the step ratio spectrum, around pseudoequalized and pseudocollapsed, producing '''nth s-mosdescendants''' and '''nth f-mosdescendants'''. The mos family tree better shows which mosses grow linearly, shown in bold, as the upper child of each node is always xL (x+y)s, which becomes of xL (nx+y)s over n generations.
 {| class="wikitable"
 |+Mosdescendants sorted by position on the mos family tree
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 | rowspan="2" |(2x+y)L xs
 | rowspan="2" |p-mosenharmonic
-|'''(2x+y)L (3x+y)s'''
+|(2x+y)L (3x+y)s
-|'''p-mosschismic'''
+|p-mosschismic
 |(2x+y)L (5x+2y)s
 |4th p-mosdescendant
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 |5th p-mosdescendant
 |
-|nth p-mosdescendant
+|
 |-
 |(3x+y)L (2x+y)s
@@ Line 1,203: / Line 1,206: @@
 | rowspan="2" |(2x+y)L (x+y)s
 | rowspan="2" |m-mosenharmonic
-|'''(2x+y)L (3x+2y)s'''
+|(2x+y)L (3x+2y)s
-|'''m-mosschismic'''
+|m-mosschismic
 |(2x+y)L (5x+3y)s
 |4th m-mosdescendant
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 |5th m-mosdescendant
 |
-|nth m-mosdescendant
+|
 |-
 |(3x+2y)L (2x+y)s