User:Ganaram inukshuk/Notes/TAMNAMS: Difference between revisions
Simplified section for namechanges; modified mosdescendant algorithm |
m →Naming mosses with more than 10 steps: Added mosprefixes to mosdescendent tables |
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| rowspan="2" |antisubneutralic | | rowspan="2" |antisubneutralic | ||
|1L 9s | |1L 9s | ||
|'''antisinatonic''' | |'''antisinatonic (asina-)''' | ||
|- | |- | ||
|9L 1s | |9L 1s | ||
|'''sinatonic''' | |'''sinatonic (sina-)''' | ||
|- | |- | ||
|8L 1s | |8L 1s | ||
|'''subneutralic''' | |'''subneutralic (blu-)''' | ||
| colspan="2" rowspan="14" | | | colspan="2" rowspan="14" | | ||
|- | |- | ||
|7L 1s | |7L 1s | ||
|'''pine''' | |'''pine (pine-)''' | ||
| colspan="2" rowspan="13" | | | colspan="2" rowspan="13" | | ||
|- | |- | ||
|6L 1s | |6L 1s | ||
|'''arch(a)eotonic''' | |'''arch(a)eotonic (arch(a)eo-)''' | ||
| colspan="2" rowspan="12" | | | colspan="2" rowspan="12" | | ||
|- | |- | ||
|5L 1s | |5L 1s | ||
|'''machinoid''' | |'''machinoid (mech-)''' | ||
| colspan="2" rowspan="11" | | | colspan="2" rowspan="11" | | ||
|- | |- | ||
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| rowspan="2" |manual | | rowspan="2" |manual | ||
|5L 4s | |5L 4s | ||
|'''semiquartal''' | |'''semiquartal (chton-)''' | ||
|- | |- | ||
|4L 5s | |4L 5s | ||
|'''gramitonic''' | |'''gramitonic (gram-)''' | ||
|- | |- | ||
| rowspan="3" |3L 1s | | rowspan="3" |3L 1s | ||
| rowspan="3" |tetric | | rowspan="3" |tetric | ||
|4L 3s | |4L 3s | ||
|'''smitonic''' | |'''smitonic (smi-)''' | ||
| colspan="2" | | | colspan="2" | | ||
|- | |- | ||
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| rowspan="2" |mosh | | rowspan="2" |mosh | ||
|7L 3s | |7L 3s | ||
|'''dicoid/zaltertic''' | |'''dicoid/zaltertic (dico-/zal-)''' | ||
|- | |- | ||
|3L 7s | |3L 7s | ||
|'''sephiroid''' | |'''sephiroid (seph-)''' | ||
|- | |- | ||
| rowspan="5" |2L 1s | | rowspan="5" |2L 1s | ||
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| rowspan="2" |antipentic | | rowspan="2" |antipentic | ||
|3L 5s | |3L 5s | ||
|'''checkertonic''' | |'''checkertonic (check-)''' | ||
| colspan="2" rowspan="3" | | | colspan="2" rowspan="3" | | ||
|- | |- | ||
|5L 3s | |5L 3s | ||
|'''oneirotonic''' | |'''oneirotonic (oneiro-)''' | ||
|- | |- | ||
| rowspan="3" |2L 3s | | rowspan="3" |2L 3s | ||
| rowspan="3" |pentic | | rowspan="3" |pentic | ||
|5L 2s | |5L 2s | ||
|'''diatonic''' | |'''diatonic (no prefix)''' | ||
|- | |- | ||
| rowspan="2" |2L 5s | | rowspan="2" |2L 5s | ||
| rowspan="2" |antidiatonic | | rowspan="2" |antidiatonic | ||
|7L 2s | |7L 2s | ||
|'''superdiatonic''' | |'''superdiatonic (arm-)''' | ||
|- | |- | ||
|2L 7s | |2L 7s | ||
|'''balzano''' | |'''balzano (bal-)''' | ||
|} | |} | ||
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| rowspan="2" |subaric | | rowspan="2" |subaric | ||
|[[2L 8s]] | |[[2L 8s]] | ||
|'''jaric''' | |'''jaric (jara-)''' | ||
|- | |- | ||
|[[8L 2s]] | |[[8L 2s]] | ||
|'''taric''' | |'''taric (tara-)''' | ||
|- | |- | ||
|[[6L 2s]] | |[[6L 2s]] | ||
|'''ekic''' | |'''ekic (ek-)''' | ||
| colspan="2" rowspan="3" | | | colspan="2" rowspan="3" | | ||
|- | |- | ||
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| rowspan="2" |citric | | rowspan="2" |citric | ||
|[[6L 4s]] | |[[6L 4s]] | ||
|'''lemon''' | |'''lemon (lem-)''' | ||
|- | |- | ||
|[[4L 6s]] | |[[4L 6s]] | ||
|'''lime''' | |'''lime (lime-)''' | ||
|- | |- | ||
! colspan="8" |3-period mosses | ! colspan="8" |3-period mosses | ||
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| rowspan="2" |triwood | | rowspan="2" |triwood | ||
|[[3L 6s]] | |[[3L 6s]] | ||
|'''tcherepnin''' | |'''tcherepnin (cher-)''' | ||
|- | |- | ||
|[[6L 3s]] | |[[6L 3s]] | ||
|'''hyrulic''' | |'''hyrulic (hyru-)''' | ||
|} | |} | ||
Starting at 4 periods, mosdescendant names apply only to n-wood scales (triwood, tetrawood, pentawood, etc), where the names of mosdescendants are based on names for single-period mosses up to 5 notes rather than based on moschromatic, mosenharmonic, and mosschismic, and thereby limited to mosdescendants with 5n notes; any descendants after that are referred as to '''n-wood descendants'''. | Starting at 4 periods, mosdescendant names apply only to n-wood scales (triwood, tetrawood, pentawood, etc), where the names of mosdescendants are based on names for single-period mosses up to 5 notes rather than based on moschromatic, mosenharmonic, and mosschismic, and thereby limited to mosdescendants with 5n notes; any descendants after that are referred as to '''n-wood descendants'''. | ||
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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 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: | * 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 greatest common factor of 1) or have a greatest 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 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: | * 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 greatest 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). | ||