16edo: Difference between revisions

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== Notation ==

16edo notation can be easy utilizing Goldsmith's Circle of keys, nominals, and respective notation. The nominals for a 6 line staff can be switched for Wilson's Beta and Epsilon additions to ~~A-G~~. The Armodue model uses a 4-line staff for 16edo.

16edo notation can be easy utilizing [[Goldsmith's Circle]] of keys, nominals, and respective notation{{clarify}}. The nominals for a 6 line staff can be switched for [[Erv Wilson]]'s Beta and Epsilon additions to A–G. The Armodue model uses a 4-line staff for 16edo.

Mos scales like ~~mavila~~[7] (or "inverse/anti-diatonic" which reverses step sizes of diatonic from LLsLLLs to ssLsssL in the heptatonic variation) can work as an alternative to the traditional diatonic scale, while maintaining conventional ~~A-G~~ ♯/♭ notation as described above. Alternatively, one can utilize the Mavila[9] ~~MOS~~, for a sort of "hyper-diatonic" scale of 7 large steps and 2 small steps. [[~~Armodue_theory~~|Armodue notation]] of ~~16-EDO~~ "Mavila-[9] Staff" does just this, and places the arrangement (222122221) on nine white "natural" keys of the 16edo keyboard. If the 9-note ~~"Enneatonic" MOS~~ is adopted as a notational basis for 16edo, then we need an entirely different set of interval classes than any of the heptatonic classes described above; perhaps it even makes sense to refer to the octave ([[2/1]]) as the "[[decave]]".

Mos scales like Mavila[7] (or "inverse/anti-diatonic" which reverses step sizes of diatonic from LLsLLLs to ssLsssL in the heptatonic variation) can work as an alternative to the traditional diatonic scale, while maintaining conventional A–G ♯/♭ notation as described above. Alternatively, one can utilize the Mavila[9] mos, for a sort of "hyper-diatonic" scale of 7 large steps and 2 small steps. [[Armodue theory|Armodue notation]] of 16edo "Mavila[9] Staff" does just this, and places the arrangement (222122221) on nine white "natural" keys of the 16edo keyboard. If the 9-note (enneatonic) mos is adopted as a notational basis for 16edo, then we need an entirely different set of interval classes than any of the heptatonic classes described above; perhaps it even makes sense to refer to the octave ([[2/1]]) as the "[[decave]]".

{| class="wikitable center-all"

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! Degree

! Cents

! colspan="2" | Mavila[9] ~~Notation~~

! colspan="2" | Mavila[9] notation

|-

| 0

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=== Sagittal notation ===

This notation uses the same sagittal sequence as [[21edo#Sagittal notation|~~21-EDO~~]].

This notation uses the same sagittal sequence as [[21edo #Sagittal notation|21edo]].

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=== Armodue notation (4-line staff) ===

[http://www.armodue.com/ricerche.htm Armodue]: Pierpaolo Beretta's website for his "Armodue" theory for 16edo (esadekaphonic), including compositions.

[http://www.armodue.com/ricerche.htm Armodue]: Pierpaolo Beretta's website for his Armodue theory for 16edo (esadekaphonic), including compositions.

For translations of parts of the Armodue pages see the [[Armodue]] on this wiki

===~~MisterShafXen’s~~ notation===

=== MisterShafXen's notation ===

[[~~MisterShafXen’s~~ 16edo notation]]

[[MisterShafXen's 16edo notation]]

== Chord names ==

@@ Line 213: / Line 213: @@
 == Notation ==
-edo notation can be easy utilizing Goldsmith's Circle of keys, nominals, and respective notation. The nominals for a 6 line staff can be switched for Wilson's Beta and Epsilon additions to A-G. The Armodue model uses a 4-line staff for 16edo.
+edo notation can be easy utilizing [[Goldsmith's Circle]] of keys, nominals, and respective notation{{clarify}}. The nominals for a 6 line staff can be switched for [[Erv Wilson]]'s Beta and Epsilon additions to A–G. The Armodue model uses a 4-line staff for 16edo.
-Mos scales like mavila[7] (or "inverse/anti-diatonic" which reverses step sizes of diatonic from LLsLLLs to ssLsssL in the heptatonic variation) can work as an alternative to the traditional diatonic scale, while maintaining conventional A-G ♯/♭ notation as described above. Alternatively, one can utilize the Mavila[9] MOS, for a sort of "hyper-diatonic" scale of 7 large steps and 2 small steps. [[Armodue_theory|Armodue notation]] of 16-EDO "Mavila-[9] Staff" does just this, and places the arrangement (222122221) on nine white "natural" keys of the 16edo keyboard. If the 9-note "Enneatonic" MOS is adopted as a notational basis for 16edo, then we need an entirely different set of interval classes than any of the heptatonic classes described above; perhaps it even makes sense to refer to the octave ([[2/1]]) as the "[[decave]]".
+Mos scales like Mavila[7] (or "inverse/anti-diatonic" which reverses step sizes of diatonic from LLsLLLs to ssLsssL in the heptatonic variation) can work as an alternative to the traditional diatonic scale, while maintaining conventional A–G ♯/♭ notation as described above. Alternatively, one can utilize the Mavila[9] mos, for a sort of "hyper-diatonic" scale of 7 large steps and 2 small steps. [[Armodue theory|Armodue notation]] of 16edo "Mavila[9] Staff" does just this, and places the arrangement (222122221) on nine white "natural" keys of the 16edo keyboard. If the 9-note (enneatonic) mos is adopted as a notational basis for 16edo, then we need an entirely different set of interval classes than any of the heptatonic classes described above; perhaps it even makes sense to refer to the octave ([[2/1]]) as the "[[decave]]".
 {| class="wikitable center-all"
@@ Line 221: / Line 221: @@
 ! Degree
 ! Cents
-! colspan="2" | Mavila[9] Notation
+! colspan="2" | Mavila[9] notation
 |-
 | 0
@@ Line 310: / Line 310: @@
 === Sagittal notation ===
-This notation uses the same sagittal sequence as [[21edo#Sagittal notation|21-EDO]].
+This notation uses the same sagittal sequence as [[21edo #Sagittal notation|21edo]].
 <imagemap>
@@ Line 322: / Line 322: @@
 === Armodue notation (4-line staff) ===
-[http://www.armodue.com/ricerche.htm Armodue]: Pierpaolo Beretta's website for his "Armodue" theory for 16edo (esadekaphonic), including compositions.
+[http://www.armodue.com/ricerche.htm Armodue]: Pierpaolo Beretta's website for his Armodue theory for 16edo (esadekaphonic), including compositions.
 For translations of parts of the Armodue pages see the [[Armodue]] on this wiki
-===MisterShafXen’s notation===
+=== MisterShafXen's notation ===
-[[MisterShafXen’s 16edo notation]]
+[[MisterShafXen's 16edo notation]]
 == Chord names ==