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TERNAMS (pronounced /tɛrneɪmz/, ''TER-names'') is a system meant to provide tuning-agnostic names for MV3 ternary scales.  The name "TERNAMS" is a portmanteau of "ternary" and "names," specifically chosen by comparison to [[TAMNAMS]].
{{Todo |expand|separate left-hand and right-hand modes for all chiral scales|establish and/or revamp mode names for several scales|inline=1}}
 
TERNAMS (pronounced /tərneɪmz/, ''TER-names'') is a system meant to provide tuning-agnostic names for MV3 ternary scales.  The name "TERNAMS" is a portmanteau of "ternary" and "names," specifically chosen by comparison to [[TAMNAMS]].


TERNAMS aims to fix the problem wherein ternary scales and their modes cannot be concisely described with numbers in the same manner that MOS scales can.  While a MV2 MOS scale can be described in terms of large and small steps, many MV3 ternary scales have separate chiral and achiral patterns with the same number of steps.  Additionally, while a mode of a MV2 MOS scale can be described by how many generators are stacked up/down from the root, many MV3 ternary scales cannot be made with generators at all.
TERNAMS aims to fix the problem wherein ternary scales and their modes cannot be concisely described with numbers in the same manner that MOS scales can.  While a MV2 MOS scale can be described in terms of large and small steps, many MV3 ternary scales have separate chiral and achiral patterns with the same number of steps.  Additionally, while a mode of a MV2 MOS scale can be described by how many generators are stacked up/down from the root, many MV3 ternary scales cannot be made with generators at all.
Line 45: Line 47:


== Seven-Note Scales ==
== Seven-Note Scales ==
=== Antinicetone (Chiral 2L2M3s) ===
Antinicetone is the inverse of the Nicetone scale.  It can be collapsed to form [[4L 3s|Smitonic]] (L = M), [[2L 5s|Antidiatonic]] (M = s), or [[2L 2s|Diwood]] (s = 0).
{| class="wikitable sortable"
|+Left-Hand Antinicetone Modes
!Mode Name
!Rotational Order
!Brightness
!Pattern
|-
|'''TBA'''
|1
|2
|sMLsMsL
|-
|'''TBA'''
|2
|5
|MLsMsLs
|-
|'''TBA'''
|3
|6
|LsMsLsM
|-
|'''TBA'''
|4
|1
|sMsLsML
|-
|'''TBA'''
|5
|4
|MsLsMLs
|-
|'''TBA'''
|6
|3
|sLsMLsM
|-
|'''TBA'''
|7
|7
|LsMLsMs
|}
{| class="wikitable sortable"
|+Right-Hand Antinicetone Modes
!Mode Name
!Rotational Order
!Brightness
!Pattern
|-
|'''TBA'''
|1
|4
|sLMsLsM
|-
|'''TBA'''
|2
|2
|LMsLsMs
|-
|'''TBA'''
|3
|6
|MsLsMsL
|-
|'''TBA'''
|4
|1
|sLsMsLM
|-
|'''TBA'''
|5
|5
|LsMsLMs
|-
|'''TBA'''
|6
|3
|sMsLMsL
|-
|'''TBA'''
|7
|7
|MsLMsLs
|}
=== Omnidiatonic (Chiral 2L3M2s) ===
[[Omnidiatonic]] is a scale that can be collapsed into both standard [[5L 2s|Diatonic]] (L = M) and [[2L 5s|Antidiatonic]] (M = s), as well as their parental [[2L 3s|Pentatonic scale]] (s = 0).
{| class="wikitable sortable"
|+Left-Hand Omnidiatonic Modes
!Mode Name
!Rotational Order
!Brightness
!Pattern
|-
|'''TBA'''
|1
|4
|MLsMLMs
|-
|'''TBA'''
|2
|6
|LsMLMsM
|-
|'''TBA'''
|3
|2
|sMLMsML
|-
|'''TBA'''
|4
|5
|MLMsMLs
|-
|'''TBA'''
|5
|7
|LMsMLsM
|-
|'''TBA'''
|6
|3
|MsMLsML
|-
|'''TBA'''
|7
|1
|sMLsMLM
|}
{| class="wikitable sortable"
|+Right-Hand Omnidiatonic Modes
!Mode Name
!Rotational Order
!Brightness
!Pattern
|-
|'''TBA'''
|1
|6
|LMsMLMs
|-
|'''TBA'''
|2
|3
|MsMLMsL
|-
|'''TBA'''
|3
|1
|sMLMsLM
|-
|'''TBA'''
|4
|5
|MLMsLMs
|-
|'''TBA'''
|5
|7
|LMsLMsM
|-
|'''TBA'''
|6
|4
|MsLMsML
|-
|'''TBA'''
|7
|2
|sLMsMLM
|}


=== Nicetone (Chiral 3L2M2s) ===
=== Nicetone (Chiral 3L2M2s) ===
The name "Nicetone" is chosen by comparison to Meantone, as it is a variant of the Diatonic scale that distinguishes between two types of whole tones.  It can be collapsed to form [[5L 2s|Diatonic]] (L = M), [[3L 4s|Mosh]] (M = s), and [[3L 2s|Antipentic]] (s = 0).  The seven modes of this scale can be named after the Greek-language names of the Byzantine Echoi, as to distinguish them from the modes of MV2 diatonic.
The name "[[Nicetone]]" is chosen by comparison to [[Meantone family|Meantone]], as it is a variant of the Diatonic scale that distinguishes between two types of whole tones.  It can be collapsed to form [[5L 2s|Diatonic]] (L = M), [[3L 4s|Mosh]] (M = s), and [[3L 2s|Antipentic]] (s = 0).
{| class="wikitable sortable"
{| class="wikitable sortable"
|+Ptolemaic Modes
|+Left-Hand Nicetone Modes
!Mode Name
!Mode Name
!Rotational Order
!Rotational Order
!Left-Hand Brightness
!Brightness
!Right-Hand Brightness
!Pattern
!Left-Hand Pattern
!Right-Hand Pattern
|-
|-
|Tritus
|'''TBA'''
|1
|1
|4
|4
|MLsLMLs
|-
|'''TBA'''
|2
|6
|LsLMLsM
|-
|'''TBA'''
|3
|2
|sLMLsML
|-
|'''TBA'''
|4
|7
|LMLsMLs
|-
|'''TBA'''
|5
|3
|MLsMLsL
|-
|'''TBA'''
|6
|5
|LsMLsLM
|-
|'''TBA'''
|7
|1
|sMLsLML
|}
{| class="wikitable sortable"
|+Right-Hand Nicetone Modes
!Mode Name
!Rotational Order
!Brightness
!Pattern
|-
|'''TBA'''
|1
|6
|6
|MLsLMLs
|LMsLMLs
|LMsLMLs
|-
|-
|Deuterus
|'''TBA'''
|2
|2
|6
|3
|3
|LsLMLsM
|MsLMLsL
|MsLMLsL
|-
|-
|Protus
|'''TBA'''
|3
|3
|2
|2
|2
|sLMLsML
|sLMLsLM
|sLMLsLM
|-
|-
|Barus
|'''TBA'''
|4
|4
|7
|7
|7
|LMLsMLs
|LMLsLMs
|LMLsLMs
|-
|-
|Hypodeuterus
|'''TBA'''
|5
|5
|3
|4
|4
|MLsMLsL
|MLsLMsL
|MLsLMsL
|-
|-
|Hypoprotus
|'''TBA'''
|6
|6
|5
|5
|5
|LsMLsLM
|LsLMsLM
|LsLMsLM
|-
|-
|Tetarus
|'''TBA'''
|7
|7
|1
|1
|1
|sMLsLML
|sLMsLML
|sLMsLML
|}
|}


=== Antinicetone (Chiral 2L2M3s) ===
=== Smicot (Chiral 3L1M3s) ===
Antinicetone is the inverse of the Nicetone scale.  It can be collapsed to form [[4L 3s|Smitonic]] (L = M), [[2L 5s|Antidiatonic]] (M = s), or [[2L 2s|Diwood]] (s = 0).  Since each mode of Antinicetone is a unique inversion of two different Nicetone modes, the modes can be named as a combination of the two modes which they invert.
The name [[Smicot]] is a clipping of "'''S'''harp '''Mi'''nor Di'''cot'''," as it can be collapsed to form [[4L 3s|Smitonic]] (L = M), [[3L 4s|Dicot[7]]] (M = s), or their parent scale, [[3L 1s|Tetric]] (s = 0).
{| class="wikitable sortable"
{| class="wikitable sortable"
|+Antinicetone Modes
|+Smicot Modes
!Mode Name
!Mode Name
!Rotational Order
!Rotational Order
Line 118: Line 320:
!Right-Hand Pattern
!Right-Hand Pattern
|-
|-
|Tritoprotus
|Omnidril
|1
|1
|2
|6
|4
|5
|sMLsMsL
|LsLsLsM
|sLMsLsM
|LsLsLMs
|-
|-
|Deuterobarus
|Omnigil
|2
|2
|5
|1
|2
|2
|MLsMsLs
|sLsLsML
|LMsLsMs
|sLsLMsL
|-
|-
|Protodeuterus
|Omnikleeth
|3
|3
|5
|6
|6
|6
|LsLsMLs
|LsMsLsM
|LsLMsLs
|MsLsMsL
|-
|-
|Baroprotus
|Omnibish
|4
|4
|1
|2
|1
|3
|sMsLsML
|sLsMLsL
|sLsMsLM
|sLMsLsL
|-
|-
|Hypotetarus
|Omnifish
|5
|5
|4
|4
|5
|7
|MsLsMLs
|LsMLsLs
|LsMsLMs
|LMsLsLs
|-
|-
|Hypotritus
|Omnijwl
|6
|6
|3
|3
|3
|4
|sLsMLsM
|sLMsLsL
|sMsLMsL
|MsLsLsL
|-
|-
|Tetarodeuterus
|Omniled
|7
|7
|7
|7
|7
|1
|LsMLsMs
|LMsLsLs
|MsLMsLs
|sLsLsLM
|}
|}


== Nine-Note Scales ==
== Nine-Note Scales ==


=== Dhembric (Chiral 4L1M4s) ===
=== Orbital (Chiral 2L2M5s) ===
The name "Dhembric" was suggested by Leriendil as a reference to [[User:Unque/Dhembrwood|Dhembrwood]], a temperament which utilizes both the left- and right-hand variations of this scale.  The modes of the scale can be inherited from the Dhembrwood[9] mode names.  This scale can be collapsed to form [[5L 4s|Semiquartal]] (L = M), [[4L 5s|Gramitonic]] (M = s), or [[4L 1s|Manual]] (s = 0).
The name "Orbital" was workshopped by [[User:CellularAutomaton|CellularAutomaton]] and Unque as a joint pun on [[Orwell|'''Or'''well]] and [[2L 7s|'''Bal'''zano]].  This scale can be collapsed to form [[4L 5s|Gramitonic]] (L = M), Balzano (M = s), or Diwood (s = 0).  Its nine modes can be named after the demonyms for the nine planets of the solar system.
{| class="wikitable sortable"
{| class="wikitable sortable"
|+Dhembric Modes
!Mode Name
!Mode Name
!Rotational Order
!Rotational Order
Line 181: Line 382:
!Right-Hand Pattern
!Right-Hand Pattern
|-
|-
|Clumsy
|Mercurian
|1
|7
|9
|MsLsMsLss
|LsMsLsMss
|-
|Cytherian
|2
|5
|3
|sLsMsLssM
|sMsLsMssL
|-
|Terrestrial
|3
|9
|7
|LsMsLssMs
|MsLsMssLs
|-
|Martian
|4
|2
|4
|sMsLssMsL
|sLsMssLsM
|-
|Jovian
|5
|6
|8
|MsLssMsLs
|LsMssLsMs
|-
|Cronian
|6
|4
|2
|sLssMsLsM
|sMssLsMsL
|-
|Uranian
|7
|8
|6
|LssMsLsMs
|MssLsMsLs
|-
|Neptunian
|8
|1
|1
|1
|ssMsLsMsL
|ssLsMsLsM
|-
|Plutonian
|9
|9
|3
|5
|5
|sMsLsMsLs
|sLsMsLsMs
|}
=== Dhembric (Chiral 4L1M4s) ===
The name "Dhembric" was suggested by [[User:Lériendil|Lériendil]] as a reference to [[User:Unque/Dhembrwood|Dhembrwood]], a temperament which utilizes both the left- and right-hand variations of this scale; while these modes have names in the context of the Dhembrwood temperament, the usage of these names for the Dhembric modes in general has been criticized for their lack of academic merit.  This scale can be collapsed to form [[5L 4s|Semiquartal]] (L = M), [[4L 5s|Gramitonic]] (M = s), or [[4L 1s|Manual]] (s = 0).
{| class="wikitable sortable"
|+Left-Hand Dhembric Modes
!Mode Name
!Rotational Order
!Brightness
!Pattern
|-
|'''TBA'''
|1
|9
|LsLsLsLsM
|LsLsLsLsM
|-
|'''TBA'''
|2
|4
|sLsLsLsML
|-
|'''TBA'''
|3
|8
|LsLsLsMLs
|-
|'''TBA'''
|4
|3
|sLsLsMLsL
|-
|'''TBA'''
|5
|7
|LsLsMLsLs
|-
|'''TBA'''
|6
|2
|sLsMLsLsL
|-
|'''TBA'''
|7
|6
|LsMLsLsLs
|-
|'''TBA'''
|8
|1
|sMLsLsLsL
|-
|'''TBA'''
|9
|5
|MLsLsLsLs
|}
{| class="wikitable sortable"
|+Right-Hand Dhembric Modes
!Mode Name
!Rotational Order
!Brightness
!Pattern
|-
|'''TBA'''
|1
|5
|MsLsLsLsL
|MsLsLsLsL
|-
|-
|Snoozy
|'''TBA'''
|2
|2
|4
|1
|1
|sLsLsLsML
|sLsLsLsLM
|sLsLsLsLM
|-
|-
|Cheerful
|'''TBA'''
|3
|3
|8
|6
|6
|LsLsLsMLs
|LsLsLsLMs
|LsLsLsLMs
|-
|-
|Fearful
|'''TBA'''
|4
|4
|3
|2
|2
|sLsLsMLsL
|sLsLsLMsL
|sLsLsLMsL
|-
|-
|Hyper
|'''TBA'''
|5
|5
|7
|7
|7
|LsLsMLsLs
|LsLsLMsLs
|LsLsLMsLs
|-
|-
|Hungry
|'''TBA'''
|6
|6
|2
|3
|3
|sLsMLsLsL
|sLsLMsLsL
|sLsLMsLsL
|-
|-
|Griselda
|'''TBA'''
|7
|7
|6
|8
|8
|LsMLsLsLs
|LsLMsLsLs
|LsLMsLsLs
|-
|-
|Ambidextrous
|'''TBA'''
|8
|4
|sLMsLsLsL
|-
|'''TBA'''
|9
|9
|LMsLsLsLs
|}
 
=== Diasem (Chiral 5L2M2s) ===
The chiral [[Diasem]] scale is named as a portmanteau of [[5L 2s|'''Dia'''tonic]] and [[5L 4s|'''Semi'''quartal]]; it can be collapsed to form [[7L 2s|Superdiatonic]] (L = M), Semiquartal (M = s) and Diatonic (s = 0).  Some have suggested naming its nine modes after those of its collapsed scales, but this approach has been criticized for being ambiguous.
{| class="wikitable sortable"
|+Left-Hand Diasem Modes
!Mode Name
!Rotational Order
!Brightness
!Pattern
|-
|'''TBA'''
|1
|5
|LsLMLsLLM
|-
|'''TBA'''
|2
|1
|sLMLsLLML
|-
|'''TBA'''
|3
|8
|LMLsLLMLs
|-
|'''TBA'''
|4
|4
|MLsLLMLsL
|-
|'''TBA'''
|5
|6
|LsLLMLsLM
|-
|'''TBA'''
|6
|2
|sLLMLsLML
|-
|'''TBA'''
|7
|9
|LLMLsLMLs
|-
|'''TBA'''
|8
|8
|7
|LMLsLMLsL
|-
|'''TBA'''
|9
|3
|MLsLMLsLL
|}
{| class="wikitable sortable"
|+Right-Hand Diasem Modes
!Mode Name
!Rotational Order
!Brightness
!Pattern
|-
|'''TBA'''
|1
|1
|6
|LsLMLLsLM
|-
|'''TBA'''
|2
|2
|sLMLLsLML
|-
|'''TBA'''
|3
|8
|LMLLsLMLs
|-
|'''TBA'''
|4
|4
|sMLsLsLsL
|4
|sLMsLsLsL
|MLLsLMLsL
|-
|-
|Sometimes Bewildered
|'''TBA'''
|5
|9
|9
|LLsLMLsLM
|-
|'''TBA'''
|6
|5
|5
|LsLMLsLML
|-
|'''TBA'''
|7
|1
|sLMLsLMLL
|-
|'''TBA'''
|8
|7
|LMLsLMLLs
|-
|'''TBA'''
|9
|9
|MLsLsLsLs
|3
|LMsLsLsLs
|MLsLMLLsL
|}
|}
Retrieved from "https://en.xen.wiki/w/User:Unque/TERNAMS"