7L 2s: Difference between revisions

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{{MOS intro}}
{{MOS intro}}
Scales of this form are strongly associated with [[Armodue theory]], as applied to septimal mavila and Hornbostel temperaments.
Scales of this form are strongly associated with [[Armodue theory]], as applied to septimal mavila and Hornbostel temperaments.
==Name==
== Name ==
The [[TAMNAMS]] name for this pattern is '''armotonic''', in reference to Armodue theory. '''Superdiatonic''' is also in use.
The [[TAMNAMS]] name for this pattern is '''armotonic''', in reference to Armodue theory. '''Superdiatonic''' is also in use.


==Intervals==
== Scale properties ==
:''This article assumes [[TAMNAMS]] for naming step ratios, mossteps, and mosdegrees.''
{{TAMNAMS use}}
{{MOS intervals|MOS Prefix=arm}}
{{MOS data}}
 
=== Proposed mode names ===
The Ad- mode names proposed by [[groundfault]] have the feature of matching up the middle 7 modes with the antidiatonic mode names in the generator arc.
{{MOS modes
| Table Headers=
Super- Mode Names $
Ad- Mode Names (ground) $
| Table Entries=
Superlydian $
TBD $
Superionian $
Adlocrian $
Supermixolydian $
Adphrygian $
Supercorinthian $
Adaeolian $
Superolympian $
Addorian $
Superdorian $
Admixolydian $
Superaeolian $
Adionian $
Superphrygian $
Adlydian $
Superlocrian $
TBD
}}


== Note names==
== Note names==
7L 2s, when viewed under Armodue theory, can be notated using Armodue notation.
7L 2s, when viewed under Armodue theory, can be notated using Armodue notation.
 
==Theory==


== Theory ==
=== Temperament interpretations ===
=== Temperament interpretations ===
[[Pelogic family#Mavila|Mavila]] is an important harmonic entropy minimum here, insofar as 678¢ can be considered a fifth. Other temperaments include septimal mavila and Hornbostel.
[[Pelogic family#Mavila|Mavila]] is an important harmonic entropy minimum here, insofar as 678¢ can be considered a fifth. Other temperaments include septimal mavila and Hornbostel.


==Modes==
== Scale tree ==
{{MOS mode degrees}}
{{MOS tuning spectrum
=== Proposed mode names ===
| 1/1 = Near exact-7/6 [[Pelogic_family#Armodue|Armodue]]
The Ad- mode names proposed by [[groundfault]] have the feature of matching up the middle 7 modes with the antidiatonic mode names in the generator arc.
| 4/3 = Near exact-20/17 [[Pentagoth]]
{{MOS modes|Table Headers=Super- Mode Names; Ad- Mode Names (ground)|Table Entries=Superlydian; TBD; Superionian; Adlocrian; Supermixolydian; Adphrygian; Supercorinthian; Adaeolian; Superolympian; Addorian; Superdorian; Admixolydian; Superaeolian; Adionian; Superphrygian; Adlydian; Superlocrian; TBD}}
| 7/5 = Near exact-5/4 [[Mavila]]
 
| 3/2 = Near exact-13/11 Pentagoth
==Scale tree==
| 7/4 = Near exact-7/4 [[Pelogic_family#Armodue|Armodue]]
{{Scale tree|Comments=
| 10/3 = Near exact-6/5 [[Mavila]]
1/1: near exact-7/6 [[Pelogic_family#Armodue|Armodue]];
}}
4/3: near exact-20/17 [[Pentagoth]];
7/5: near exact-5/4 [[Mavila]];
3/2: near exact-13/11 Pentagoth;
7/4: near exact-7/4 [[Pelogic_family#Armodue|Armodue]];
10/3: near exact-6/5 [[Mavila]]; }}


[[Category:9-tone scales]]
[[Category:9-tone scales]]
[[Category:Mavila]]
[[Category:Mavila]]