User:Ganaram inukshuk/Notes/TAMNAMS: Difference between revisions
Realized it's easier to describe hyrudescendants and cherdescendants. Reorganized mos namechanges section by category. |
Simplified section for namechanges; modified mosdescendant algorithm |
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Each generation has twice as many mosdescendants as the last, so rather than try to name every possible descendant, mosdescendants more than 3 generations from a given parent mos may be referred to how many generations away it is. Mosschismic scales are 3rd mosdescendants, so after that are 4th-mosdescendants, 5th-mosdescendants, and so on. The algorithms below shows how to find how many generations away a mos xL ys is from another scale. | Each generation has twice as many mosdescendants as the last, so rather than try to name every possible descendant, mosdescendants more than 3 generations from a given parent mos may be referred to how many generations away it is. Mosschismic scales are 3rd mosdescendants, so after that are 4th-mosdescendants, 5th-mosdescendants, and so on. The algorithms below shows how to find how many generations away a mos xL ys is from another scale. | ||
* For | * For mosses with up to 3 periods: finding a parent mos zL ws for the mosdescendant xL ys, where x and y are either coprime (have a common factor of 1) or have a common factor of 2 or 3: | ||
*# Let z and w be the number of large and small steps of the parent mos to be found. Assign to z and w the values x and y respectively. Let g = 0, where g is the number of generations away from zL ws. | *# Let z and w be the number of large and small steps of the parent mos to be found. Assign to z and w the values x and y respectively. Let g = 0, where g is the number of generations away from zL ws. | ||
*# Let m1 be equal to max(z, w) and m2 be equal to min(z, w). | *# Let m1 be equal to max(z, w) and m2 be equal to min(z, w). | ||
*# Assign to z the value m2 and w the value m1-m2. Increment g by 1. | *# Assign to z the value m2 and w the value m1-m2. Increment g by 1. | ||
*# If the sum of z and w is less than or equal to 10, then the mos name is that assigned to the mos zL ws, which is g generations away from xL ys. If not, repeat the process starting at step 2. | *# If the sum of z and w is less than or equal to 10, then the mos name is that assigned to the mos zL ws, which is g generations away from xL ys. If not, repeat the process starting at step 2. | ||
* For | * For mosses with 4 periods or more: finding how many generations away a mosdescendant xL ys is from its n-wood scale, where x and y have a common factor of n that is 4 or greater: | ||
*# Let z and w be assigned the values x and y respectively. Let g = 0, where g is the number of generations away from nL ns. | *# Let z and w be assigned the values x and y respectively. Let g = 0, where g is the number of generations away from nL ns. | ||
*# Let m1 be equal to max(z, w) and m2 be equal to min(z, w). | *# Let m1 be equal to max(z, w) and m2 be equal to min(z, w). | ||
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|seph- | |seph- | ||
|seph | |seph | ||
|sephirotonic | |sephirotonic or sephiratonic | ||
|unchagned | |unchagned | ||
|unchagned | |unchagned | ||
|Rather than alluding to [[sephiroth]] temperament, the name should allude to Peter Kosmorsky's ''[https://ia800703.us.archive.org/12/items/TractatumDeModiSephiratorum/ModiSephiratorum.pdf Tractatum de Modi Sephiratorum]'' (A Treatise on the Modes of the Sephirates), whose name ultimately comes from the [[wikipedia:Sefirot|sefirot]]. The document describes several edos that are said to contain the "modi sephiratorum" (sephirate modes). Therefore, instead of the name "sephiroid", suggesting that the mos pattern resembles the modi sephiratorum, the mos pattern ''is'' the modi sephiratorum, hence the mosname "sephirotonic". | |Rather than alluding to [[sephiroth]] temperament, the name should allude to Peter Kosmorsky's ''[https://ia800703.us.archive.org/12/items/TractatumDeModiSephiratorum/ModiSephiratorum.pdf Tractatum de Modi Sephiratorum]'' (A Treatise on the Modes of the Sephirates), whose name ultimately comes from the [[wikipedia:Sefirot|sefirot]]. The document describes several edos that are said to contain the "modi sephiratorum" (sephirate modes). Therefore, instead of the name "sephiroid", suggesting that the mos pattern resembles the modi sephiratorum, the mos pattern ''is'' the modi sephiratorum, hence the mosname "sephirotonic". | ||
|May still reference sephiroth temperament. For a more indirect reference, an alternate transliteration of סְפִירוֹת (sefirot) may be used instead. | |May still reference sephiroth temperament. For a more indirect reference, an alternate transliteration of סְפִירוֹת (sefirot) may be used instead. | ||
New name is longer than the old name. | New name is longer than the old name. | ||
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|zal | |zal | ||
|As of writing, there are two names. I would favor zaltertic over dicoid in that it removes a name that suggests a temperament. | |As of writing, there are two names. I would favor zaltertic over dicoid in that it removes a name that suggests a temperament. | ||
| | |Central zalzalian thirds (another name for neutral thirds) are not the scale's bright generator, but are produced by the scale. | ||
|- | |- | ||
! colspan="9" |Changes to names that bear the anti- prefix | ! colspan="9" |Changes to names that bear the anti- prefix | ||
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!Abbrev. | !Abbrev. | ||
|- | |- | ||
|1L 5s | |||
|antimachinoid | |||
|amech- | |||
|amech | |||
|selenic | |selenic | ||
|sel- | |sel- | ||
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| | | | ||
|- | |- | ||
|1L 7s | |||
|antipine | |||
|apine- | |||
|apine | |||
|alpine | |alpine | ||
|alp- or unchanged | |alp- or unchanged | ||
|alp or unchanged | |alp or unchanged | ||
|Looks like "anpine" (a shortened form of "antipine", following the logic of the "an-" prefix), but accidentally corrected into "alpine". Somewhat preserves meaning of the anti-/an- prefix. | |Looks like "anpine" (a shortened form of "antipine", following the logic of the "an-" prefix), but accidentally corrected into "alpine". Somewhat preserves meaning of the anti-/an- prefix. | ||
|Pun. | |Pun. Too minor of a modification. | ||
|- | |- | ||
|1L 8s | |1L 8s | ||
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|References two different temperaments. | |References two different temperaments. | ||
|- | |- | ||
|1L 9s | |||
|antisinatonic | |||
|asina- | |||
|asi | |||
|parivalic | |parivalic | ||
|par- | |par- | ||
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|A portmanteau of [[Passion|'''pa'''ssion]], [[Ripple|'''ri'''pple]], and [[Valentine|'''val'''entine]]. Shorter name. | |A portmanteau of [[Passion|'''pa'''ssion]], [[Ripple|'''ri'''pple]], and [[Valentine|'''val'''entine]]. Shorter name. | ||
|References three different temperaments. | |References three different temperaments. | ||
|- | |- | ||
! colspan="9" |Changes to names that bear other prefixes | ! colspan="9" |Changes to names that bear other prefixes | ||
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|unchagned | |unchagned | ||
|unchagned | |unchagned | ||
| rowspan="2" |From "[[pelog]]" and "[[armodue]]". The proposed names are to make both scales more distinct from diatonic. | | rowspan="2" |From "[[pelog]]" and "[[armodue]]". The proposed names are to make both scales more distinct from diatonic. These names must be changed together. | ||
| rowspan="2" |The connection to diatonic may be beneficial to some musicians. Additionally, the mode names commonly used for both mosses are those from diatonic (lydian, ionian, etc) with the anti- and super- prefixes added. | | rowspan="2" |The connection to diatonic may be beneficial to some musicians. Additionally, the mode names commonly used for both mosses are those from diatonic (lydian, ionian, etc) with the anti- and super- prefixes added. | ||
New names reference pelog tuning and armodue theory. | New names reference pelog tuning and armodue theory. | ||
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|An indirect reference to [[bleu]] temperament; azure is a specific shade of blue. Simplified name. Also, the sub- prefix may falsely suggest another scale called "(prefix)neutralic", similar to how sub'''aric''' (2L 6s) is the parent to both j'''aric''' (2L 8s) and t'''aric''' (8L 2s). | |An indirect reference to [[bleu]] temperament; azure is a specific shade of blue. Simplified name. Also, the sub- prefix may falsely suggest another scale called "(prefix)neutralic", similar to how sub'''aric''' (2L 6s) is the parent to both j'''aric''' (2L 8s) and t'''aric''' (8L 2s). | ||
|New name is referencing a temperament, albeit indirectly. The sub- prefix reasoning may be a stretch, since subaric, jaric, and taric are the only mosses related this way. | |New name is referencing a temperament, albeit indirectly. The sub- prefix reasoning may be a stretch, since subaric, jaric, and taric are the only mosses related this way. | ||
|- | |||
|2L 6s | |||
|subaric | |||
|subar- | |||
|subar | |||
|baric | |||
|bar- | |||
|bar | |||
|Rhymes perfectly with jaric and taric. May also mean "basic -aric", as this mos with a basic step ratio (L:s=2:1) cannot produce jaric or taric. | |||
|Too minor of a modification. The use of "bar" as a mosprefix or mosabbreviation may be problematic ("bar" may also mean "measure" in sheet music). | |||
|} | |} | ||
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|- | |- | ||
|All mosses of the form 1L ns mosses end with -ic, excluding those named under the previous rule. | |All mosses of the form 1L ns mosses end with -ic, excluding those named under the previous rule. | ||
| | | | ||
* antimachinoid -> selenic | * antimachinoid -> selenic | ||
* antipne -> | * antipne -> alpine | ||
* antisubneutralic -> mineric | * antisubneutralic -> mineric | ||
* antisinatonic -> | * antisinatonic -> parivalic | ||
|onyx (almost sounds like on-ic) | | | ||
* onyx (almost sounds like on-ic) | |||
* alpine | |||
|} | |} | ||
{| class="wikitable" | {| class="wikitable" | ||
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| rowspan="4" |onyx | | rowspan="4" |onyx | ||
| rowspan="3" |1L 7s | | rowspan="3" |1L 7s | ||
| rowspan="3" | | | rowspan="3" |alpine | ||
| rowspan="2" |1L 8s | | rowspan="2" |1L 8s | ||
| rowspan="2" |mineric | | rowspan="2" |mineric | ||
|1L 9s | |1L 9s | ||
| | |parivalic | ||
|- | |- | ||
|9L 1s | |9L 1s |