User:Ganaram inukshuk/TAMNAMS: Difference between revisions

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This temperament is supported by {{Optimal ET sequence| 7, 10 and 17 }} equal divisions, with non-patent val tunings including (but not limited to) 7+7=14cd, 10+10=20e, 17+7=24cd, and 17+10=27ce.

====Armotonic (7L 2s)====

The name ~~"superdiatonic" has seen some precedent of use on the Xen Wiki~~ to ~~refer~~ to the ~~mos pattern~~ 7L 2s, ~~so is accepted as~~ ''a'' ~~possible name~~, but ~~"armotonic" is preferred due~~ to ~~its clarity as "superdiatonic" could reasonably~~ be ~~confused as describing sharp-fifth diatonic scales~~. ~~This~~ mos is ~~part~~ of ~~a series of mos patterns~~ (5~~+2k~~)~~L 2s~~, ~~which starts~~ with diatonic (~~5L 2s~~, ~~k=0)~~ and ~~superdiatonic (7L 2s~~, ~~k=1)~~, ~~hence~~ the ~~reasoning for that name; like 5L 2s~~, ~~7L 2s~~ is ~~also~~ a ~~fifth-generated~~ scale and ~~has~~ a ~~structure similar~~ to ~~diatonic~~ in ~~some ways, but with more~~ large steps~~. Because~~ of the ~~ambiguity~~, the name ~~"armotonic", in reference~~ to ~~Armodue theory~~, ~~is TAMNAMS~~' ~~recommended name, but "~~superdiatonic" is allowed in ~~contexts~~ where it's truly unambiguous if the writer prefers it.

The name ''armotonic'' is in reference to [[Armodue theory]], as it applies to the 7L 2s scale in 16edo.

Originally, the name ''superdiatonic'' was used for 7L 2s, under the assumption that it was given by Armodue theorists, but this turned out to be a misattribution. Additionally, the term ''superdiatonic'' has had earlier uses for other things than just 7L 2s, usually the expansion of a smaller mos to a larger one:

* From the page [[altered pentad]], where ''superdiatonic'' meantone[12], corresponding to 7L 5s:

<blockquote>''One drawback of meantone[12] (the so-called '''superdiatonic''' scale) is that it has only two each of the ordinary (5:6:7:8:9) [[otonal]] and [[utonal]] pentads, just as it has only two of each 7-limit [[tetrad]].''</blockquote>

* From the page [[mohajira]], where ''superdiatonic'' is used to describe mohajira[10], corresponding to 7L 3s.

* From the page [[Composing Powerstart]], where ''superdiatonic'' is used to refer to porcupine[8], corresponding to 7L 1s:

<blockquote>''For starters, you might want to mess around with what's called "[[porcupine]]" temperament in [[22edo|22-EDO]]. The base diatonic-sized scale is (as steps out of 22-EDO) 4 3 3 3 3 3 3, and you can chromatically alter anything in that scale you want by 1 step out of 22. For instance, if you flat the 7, you get the scale 4 3 3 3 3 2 4, which is nice because it has a 4:5:6:7:9:11 chord in it. There's another "'''superdiatonic'''" scale at 1 3 3 3 3 3 3 3 which you can morph the above into if you want, and a 15-note chromatic scale at 1 1 2 1 2 1 2 1 2 1 2 1 2 1 2; feel free to not stick dogmatically to these exact scales but to change them as you desire.''</blockquote>What 7L 2s and 5L 2s ''do'' share in common is 7L 2s has two extra large steps compared to 5L 2s, and can be generalized to mosses of the form (5+2''k'')L 2s, with increasingly ''flat'' fifth-like intervals for their generators.

Despite this, the name ''superdiatonic'' has seen some precedent of use on the wiki to refer to an octave-equivalent 7L 2s pattern, and the name ''superdiatonic'' is only allowed in situations where it's truly unambiguous if the writer prefers it. However, the name ''armotonic'' is normally advised over ''superdiatonic'' as the former is unambiguous as to what it refers to.

====On the term ''diatonic''====

In TAMNAMS, ''diatonic'' exclusively refers to 5L 2s. This is because while diatonic has accrued a variety of exact meanings over time, it has a clear choice of referent when talking about MOS scales: 5L 2s with an octave or tempered-octave period.

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 This temperament is supported by {{Optimal ET sequence| 7, 10 and 17 }} equal divisions, with non-patent val tunings including (but not limited to) 7+7=14cd, 10+10=20e, 17+7=24cd, and 17+10=27ce.
 ====Armotonic (7L 2s)====
-The name "superdiatonic" has seen some precedent of use on the Xen Wiki to refer to the mos pattern 7L 2s, so is accepted as ''a'' possible name, but "armotonic" is preferred due to its clarity as "superdiatonic" could reasonably be confused as describing sharp-fifth diatonic scales. This mos is part of a series of mos patterns (5+2k)L 2s, which starts with diatonic (5L 2s, k=0) and superdiatonic (7L 2s, k=1), hence the reasoning for that name; like 5L 2s, 7L 2s is also a fifth-generated scale and has a structure similar to diatonic in some ways, but with more large steps. Because of the ambiguity, the name "armotonic", in reference to Armodue theory, is TAMNAMS' recommended name, but "superdiatonic" is allowed in contexts where it's truly unambiguous if the writer prefers it.
+The name ''armotonic'' is in reference to [[Armodue theory]], as it applies to the 7L 2s scale in 16edo.
+Originally, the name ''superdiatonic'' was used for 7L 2s, under the assumption that it was given by Armodue theorists, but this turned out to be a misattribution. Additionally, the term ''superdiatonic'' has had earlier uses for other things than just 7L 2s, usually the expansion of a smaller mos to a larger one:
+* From the page [[altered pentad]], where ''superdiatonic'' meantone[12], corresponding to 7L 5s:
+<blockquote>''One drawback of meantone[12] (the so-called '''superdiatonic''' scale) is that it has only two each of the ordinary (5:6:7:8:9) [[otonal]] and [[utonal]] pentads, just as it has only two of each 7-limit [[tetrad]].''</blockquote>
+* From the page [[mohajira]], where ''superdiatonic'' is used to describe mohajira[10], corresponding to 7L 3s.
+* From the page [[Composing Powerstart]], where ''superdiatonic'' is used to refer to porcupine[8], corresponding to 7L 1s:
+<blockquote>''For starters, you might want to mess around with what's called "[[porcupine]]" temperament in [[22edo|22-EDO]]. The base diatonic-sized scale is (as steps out of 22-EDO) 4 3 3 3 3 3 3, and you can chromatically alter anything in that scale you want by 1 step out of 22. For instance, if you flat the 7, you get the scale 4 3 3 3 3 2 4, which is nice because it has a 4:5:6:7:9:11 chord in it. There's another "'''superdiatonic'''" scale at 1 3 3 3 3 3 3 3 which you can morph the above into if you want, and a 15-note chromatic scale at 1 1 2 1 2 1 2 1 2 1 2 1 2 1 2; feel free to not stick dogmatically to these exact scales but to change them as you desire.''</blockquote>What 7L 2s and 5L 2s ''do'' share in common is 7L 2s has two extra large steps compared to 5L 2s, and can be generalized to mosses of the form (5+2''k'')L 2s, with increasingly ''flat'' fifth-like intervals for their generators.
+Despite this, the name ''superdiatonic'' has seen some precedent of use on the wiki to refer to an octave-equivalent 7L 2s pattern, and the name ''superdiatonic'' is only allowed in situations where it's truly unambiguous if the writer prefers it. However, the name ''armotonic'' is normally advised over ''superdiatonic'' as the former is unambiguous as to what it refers to.
 ====On the term ''diatonic''====
 In TAMNAMS, ''diatonic'' exclusively refers to 5L 2s. This is because while diatonic has accrued a variety of exact meanings over time, it has a clear choice of referent when talking about MOS scales: 5L 2s with an octave or tempered-octave period.