User:Ganaram inukshuk/Notes/TAMNAMS: Difference between revisions
→Naming mosses with more than 10 steps: Added section for kth-mosdescendants |
→Reasoning for names: Example tables for mosdescendants |
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|'''lime''' | |'''lime''' | ||
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Starting at 3 periods, mosdescendant names apply only to | Starting at 3 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 and thereby limited to mosdescendants with 5n notes; any descendants after that are referred as to '''n-wood descendants'''. | ||
Note that this means there are only two named 3rd-generation mosses from nL ns, rather than the usual eight. The cap of 5n notes mirrors that of TAMNAMS; currently, the names for single-period mosses up to 5 notes may also refer to non-octave periods and therefore (for our purposes) multi-period octave scales. The table outlines possible names for n-wood descendants for triwood, tetrawood, pentawood, and, in the general case, n-wood. | |||
{| class="wikitable" | {| class="wikitable" | ||
|+Possible mosdescendant names for mosses with 3 periods or more | |+Possible mosdescendant names for mosses with 3 periods or more | ||
| Line 969: | Line 969: | ||
|- | |- | ||
| rowspan="5" |[[3L 3s]] | | rowspan="5" |[[3L 3s]] | ||
| rowspan="5" |triwood | | rowspan="5" |'''triwood''' | ||
| rowspan="3" |[[3L 6s]] | | rowspan="3" |[[3L 6s]] | ||
| rowspan="3" |tcherepnin | | rowspan="3" |tcherepnin | ||
| Line 1,006: | Line 1,006: | ||
|- | |- | ||
| rowspan="5" |[[4L 4s]] | | rowspan="5" |[[4L 4s]] | ||
| rowspan="5" |tetrawood | | rowspan="5" |'''tetrawood''' | ||
| rowspan="3" |[[4L 8s]] | | rowspan="3" |[[4L 8s]] | ||
| rowspan="3" |quadantrial | | rowspan="3" |quadantrial | ||
| Line 1,043: | Line 1,043: | ||
|- | |- | ||
| rowspan="5" |[[5L 5s]] | | rowspan="5" |[[5L 5s]] | ||
| rowspan="5" |pentawood | | rowspan="5" |'''pentawood''' | ||
| rowspan="3" |[[5L 10s]] | | rowspan="3" |[[5L 10s]] | ||
| rowspan="3" |quinantrial | | rowspan="3" |quinantrial | ||
| Line 1,080: | Line 1,080: | ||
|- | |- | ||
| rowspan="5" |nL ns | | rowspan="5" |nL ns | ||
| rowspan="5" |n-wood | | rowspan="5" |'''n-wood''' | ||
| rowspan="3" |nL 2ns | | rowspan="3" |nL 2ns | ||
| rowspan="3" |n-antrial | | rowspan="3" |n-antrial | ||
| Line 1,088: | Line 1,088: | ||
|n-pedal | |n-pedal | ||
| rowspan="5" |A numeric prefix may be used instead, such as hexawood instead of 6-wood. | | rowspan="5" |A numeric prefix may be used instead, such as hexawood instead of 6-wood. | ||
When in doubt, prefix names with n-. | When in doubt, prefix names for n-period mosses with n-. | ||
|- | |- | ||
|4nL ns | |4nL ns | ||
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=== Naming mosdescendant scales beyond 3 generations === | === Naming mosdescendant scales beyond 3 generations === | ||
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 | 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 single-period and 2-period scales: 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: | * For single-period and 2-period scales: 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: | ||
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|"S" for '''s'''harp. | |"S" for '''s'''harp. | ||
|} | |} | ||
=== Examples === | |||
{| class="wikitable" | {| class="wikitable" | ||
|+Names for descendant scales of 5L 2s | |+Names for descendant scales of 5L 2s (diatonic) | ||
! colspan="2" |Diatonic scale | ! colspan="2" |Diatonic scale | ||
! colspan="2" |Chromatic scales | ! colspan="2" |Chromatic scales | ||
| Line 1,237: | Line 1,239: | ||
|s-schismic | |s-schismic | ||
|5A 22B | |5A 22B | ||
|} | |||
{| class="wikitable" | |||
|+Names for descendant scales for 5L 3s (oneirotonic) | |||
! colspan="2" |Oneirotonic scale | |||
! colspan="2" |Oneirochromatic scales | |||
! colspan="2" |Oneiroenharmonic scales | |||
! colspan="2" |Oneiroschismic scales | |||
!4th oneirodescendants | |||
|- | |||
!Steps | |||
!Name | |||
!Steps | |||
!Name | |||
!Steps | |||
!Name | |||
!Steps | |||
!Name | |||
!Steps | |||
|- | |||
| rowspan="8" |[[8L 5s]] | |||
| rowspan="8" |oneirotonic | |||
| rowspan="4" |[[8L 5s]] | |||
| rowspan="4" |m-oneirochromatic | |||
| rowspan="2" |[[8L 13s]] | |||
| rowspan="2" |f-oneiroenharmonic | |||
|[[8L 21s]] | |||
|f-oneiroschismic | |||
|8A 29B | |||
|- | |||
|[[21L 8s]] | |||
|a-oneiroschismic | |||
|21A 29B | |||
|- | |||
| rowspan="2" |[[13L 8s]] | |||
| rowspan="2" |m-oneiroenharmonic | |||
|[[21L 13s]] | |||
|u-oneiroschismic | |||
|21A 34B | |||
|- | |||
|[[13L 21s]] | |||
|m-oneiroschismic | |||
|13A 34B | |||
|- | |||
| rowspan="4" |[[5L 8s]] | |||
| rowspan="4" |p-oneirochromatic | |||
| rowspan="2" |[[13L 5s]] | |||
| rowspan="2" |p-oneiroenharmonic | |||
|[[13L 18s]] | |||
|p-oneiroschismic | |||
|13A 31B | |||
|- | |||
|[[18L 13s]] | |||
|q-oneiroschismic | |||
|18A 31B | |||
|- | |||
| rowspan="2" |[[5L 13s]] | |||
| rowspan="2" |s-oneiroenharmonic | |||
|[[18L 5s]] | |||
|r-oneiroschismic | |||
|18A 23B | |||
|- | |||
|[[5L 18s]] | |||
|s-oneiroschismic | |||
|5A 23B | |||
|} | |} | ||
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* Some names are too long (in my opinion). | * Some names are too long (in my opinion). | ||
The choice of names are not perfect and some may have issues. Some names have multiple suggestions. This section is meant to start a discussion on alternate names. | The choice of names are not perfect and some may have issues. Some names have multiple suggestions. This section is meant to start a discussion on alternate names. (This section also needs some rework.) | ||
{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||