TAMNAMS: Difference between revisions

Ganaram inukshuk (talk | contribs)
→Naming mos intervals: Lingering instances of "mos-ordinals" removed
Xenllium (talk | contribs)
Line 525: Line 525:
==== Pedal (1L 4s) ====
==== Pedal (1L 4s) ====
Pedals are operated with feet, which have one large toe and four small toes. Also comes from words like "bipedal", where in TAMNAMS, "bipedal" would literally mean a pedal scale with a period equal to half of some chosen interval, although such a scale would have either two right feet or two left feet depending on orientation chosen. If you think "car"/"vehicle" when you think "pedal" and don't think (or want to think) much about feet then you can think about "[[beep]]ing" (as [[beep]] is the 7-limit 4&5 exotemperament). Because this name relies so heavily and fundamentally on there being 1 large and 4 small steps per period, it is appropriate to generalise for any size of period you would want. In that regard, same goes for manual, pentic and anpentic.
Pedals are operated with feet, which have one large toe and four small toes. Also comes from words like "bipedal", where in TAMNAMS, "bipedal" would literally mean a pedal scale with a period equal to half of some chosen interval, although such a scale would have either two right feet or two left feet depending on orientation chosen. If you think "car"/"vehicle" when you think "pedal" and don't think (or want to think) much about feet then you can think about "[[beep]]ing" (as [[beep]] is the 7-limit 4&5 exotemperament). Because this name relies so heavily and fundamentally on there being 1 large and 4 small steps per period, it is appropriate to generalise for any size of period you would want. In that regard, same goes for manual, pentic and anpentic.
==== Malic (2L 4s) and citric (4L 2s) ====
==== Malic (2L 4s) and citric (4L 2s) ====
Malic derives from Latin ''malus'' 'apple'. An apple has two concave ends, and large steps in a scale with more small steps are hole-like, hence the two large steps in malic. Citric (4L 2s) is named after the child mosses of citric, namely lemon (6L 4s) and lime (4L 6s). Unlike apples, lemons have two convex pointy ends, and small steps in a scale with more large steps are pointy, hence the two small steps. Malic and citric acids are both ubiquitous in food and biology, thus justifying their use for fairly small mos scales.
Malic derives from Latin ''malus'' 'apple'. An apple has two concave ends, and large steps in a scale with more small steps are hole-like, hence the two large steps in malic. Citric (4L 2s) is named after the child mosses of citric, namely lemon (6L 4s) and lime (4L 6s). Unlike apples, lemons have two convex pointy ends, and small steps in a scale with more large steps are pointy, hence the two small steps. Malic and citric acids are both ubiquitous in food and biology, thus justifying their use for fairly small mos scales.


==== Machinoid (5L 1s) ====
==== Machinoid (5L 1s) ====
[[Machine]] is the 5&6 temperament in the 2.9.7.11 subgroup with a comma list of 64/63 and 99/98.
[[Machine]] is the 5&6 temperament in the 2.9.7.11 subgroup with a comma list of 64/63 and 99/98.


It has {{Optimal ET sequence|legend=1| 5, 6, 11, 12, 16, 17, 22, 23, 27, 28, 33 }} with non-patent val tunings including 5+5=10e, 5+10e+12=21be, 5+5+5+5+6=26qe, which are mentioned here for demonstrating virtual completeness of the tuning range, and the unusually large [[33edo]] tuning being to show [[11edo]]'s strength as a tuning.
This temperament is supported by {{Optimal ET sequence| 5, 6, 11, 12, 16, 17, 22, 23, 27, 28 and 33 }} equal divisions, with non-patent val tunings including 5+5=10e, 5+10e+12=21be, 5+5+5+5+6=26qe, which are mentioned here for demonstrating virtual completeness of the tuning range, and the unusually large [[33edo]] tuning being to show [[11edo]]'s strength as a tuning.


==== Onyx (1L 6s) ====
==== Onyx (1L 6s) ====
"1Ln-ic's" and "nL1-ic's (like, the -ic suffix applied to MOSS names, collectivised for 1Lns and nL1s) sounds like "one-el-en-ics" or "en-el-one-ics" which abbreviated sort of sounds like "one-ics" => "onyx". Then "onyx" sounds sort of like "one-six". Furthermore the onyx mineral comes in many colours and types, which seems fitting given this is the parent scale for a wide variety of MOSSes; specifically of interest being 7L 1s (pine), 8L 1s (subneutralic) and 9L 1s (sinatonic). Finally, the name "onyx" is also supposed to be vaguely reminiscent of "anti-archaeotonic" as "chi" (the greek letter) is written like an "x" (this is related to why "christmas" is abbreviated sometimes as "X-mas") and other than that, the letters "o" and "n" and their sounds are also present in "archaeotonic", and "x" is vaguely reminiscent of negation and multiplication. There is also something like a "y" sound in "archaeotonic" in the "aeo" part (depending partially on your pronounciation).
"1Ln-ic's" and "nL1-ic's (like, the -ic suffix applied to MOSS names, collectivised for 1Lns and nL1s) sounds like "one-el-en-ics" or "en-el-one-ics" which abbreviated sort of sounds like "one-ics" => "onyx". Then "onyx" sounds sort of like "one-six". Furthermore the onyx mineral comes in many colours and types, which seems fitting given this is the parent scale for a wide variety of MOSSes; specifically of interest being 7L 1s (pine), 8L 1s (subneutralic) and 9L 1s (sinatonic). Finally, the name "onyx" is also supposed to be vaguely reminiscent of "anti-archaeotonic" as "chi" (the greek letter) is written like an "x" (this is related to why "christmas" is abbreviated sometimes as "X-mas") and other than that, the letters "o" and "n" and their sounds are also present in "archaeotonic", and "x" is vaguely reminiscent of negation and multiplication. There is also something like a "y" sound in "archaeotonic" in the "aeo" part (depending partially on your pronounciation).
==== Subaric (2L 6s), jaric (2L 8s), and taric (8L 2s) ====
==== Subaric (2L 6s), jaric (2L 8s), and taric (8L 2s) ====
The name "subaric" alludes to the fact that 2L 6s is the largest proper '''sub'''set mos of both j'''aric''' (2L 8s) and t'''aric''' (8L 2s).
The name "subaric" alludes to the fact that 2L 6s is the largest proper '''sub'''set mos of both j'''aric''' (2L 8s) and t'''aric''' (8L 2s).


Line 543: Line 543:


The name "taric" was named based on it being the only octave-tuned TAMNAMS pattern with a [[#Simple step ratios|basic]] tuning of [[18edo]] (because [[7L 4s]] has more than 10 notes so is out of the scope of TAMNAMS, although not necessarily out of the scope of extensions) and it was also named based on rhyming with jaric (as they share the parent mos [[2L 6s]]).
The name "taric" was named based on it being the only octave-tuned TAMNAMS pattern with a [[#Simple step ratios|basic]] tuning of [[18edo]] (because [[7L 4s]] has more than 10 notes so is out of the scope of TAMNAMS, although not necessarily out of the scope of extensions) and it was also named based on rhyming with jaric (as they share the parent mos [[2L 6s]]).
==== Sephiroid (3L 7s) ====
==== Sephiroid (3L 7s) ====
[[Sephiroth]] is the 3&10 temperament in the 2.5.7.11.13.17.21 subgroup with commas including 65/64, 85/84, 221/220, 105/104, 169/168, 170/169, 221/220, 273/272, 275/273.
[[Sephiroth]] is the 3&10 temperament in the 2.5.11.13.17.21 subgroup with commas including 65/64, 85/84, 105/104, 169/168, 170/169, 221/220, 273/272, 275/273.


It has {{Optimal ET sequence|legend=1 | 3, 10, 13, 16, 23, 26 }} with non-patent val tunings including 6eg, 7e*, 19eg, 20e, 29g, 32egq, 33ce, 36c.
This temperament is supported by {{Optimal ET sequence| 3, 10, 13, 16, 23 and 26 }} equal divisions, with non-patent val tunings including 6eg, 7e*, 19eg, 20e, 29g, 32egq, 33ce, 36c.


* Extreme tunings even occasionally go outside of this range like with 7e, but this would never be considered a good tuning.
<nowikl>*</nowiki> Extreme tunings even occasionally go outside of this range like with 7e, but this would never be considered a good tuning.


(Note that ''q'' in the above is a placeholder symbol meaning that the generator 21 is warted.)
(Note that ''q'' in the above is a placeholder symbol meaning that the generator 21 is warted.)


Note therefore how practically a full range of tunings is covered both in breadth and depth.
Note therefore how practically a full range of tunings is covered both in breadth and depth.
==== Dicoid (7L 3s) ====
==== Dicoid (7L 3s) ====
[[Dicot family#Dichotic|Dichotic]] is the 7&10 temerament in the 11-limit with commas including 25/24, 45/44, 55/54, 56/55, 64/63 and is an extension of the 5-limit exotemperament [[dicot]] which tempers 25/24, equating 5/4 and 6/5 into a neutral third sized interval, which is the generator. To help justify using these temperament for inspiration for the name, note that:
[[Dicot family#Dichotic|Dichotic]] is the 7&amp;10 temerament in the 11-limit with commas including 25/24, 45/44, 55/54, 56/55, 64/63 and is an extension of the 5-limit exotemperament [[dicot]] which tempers 25/24, equating 5/4 and 6/5 into a neutral third sized interval, which is the generator. To help justify using these temperament for inspiration for the name, note that:


It has {{Optimal ET sequence|legend=1 | 7, 10, 17 }} with non-patent val tunings including 14cd(=7+7), 20e(=10+10), 24cd(=17+7), 27ce(=17+10).
This temperament is supported by {{Optimal ET sequence| 7, 10 and 17 }} equal divisions, with non-patent val tunings including 14cd(=7+7), 20e(=10+10), 24cd(=17+7), 27ce(=17+10).


Note there are many more warted tunings than this with even more extreme tunings, which makes it reasonable to loosely associate the exotemperament with the range of vaguely saner tunings.
Note there are many more warted tunings than this with even more extreme tunings, which makes it reasonable to loosely associate the exotemperament with the range of vaguely saner tunings.