User:Eufalesio/Fifth scale tree: Difference between revisions
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=== MOS-based adjectives === | === MOS-based adjectives === | ||
MOS-based names like ''diatonoid'' ''3/2'', ''sephirothish 5/4'' or ''p-chro machinish 7/4'' may be used, as they are also explicit in their ranges. If the MOS name ends in -ic, substitute by -oid (pentic -> pentoid). If the MOS name doesn't end in -ic or -oid, add -oid (lime -> limoid). If the MOS ends in -oid, recover original ending and add -ish, unless it ends in -us, in which case substitute. (sephiroid -> sephiroth -> sephirothish, dicoid -> dicot -> dicotish, helenoid -> helenus -> helenish) | MOS-based names like ''diatonoid'' ''3/2'', ''sephirothish 5/4'' or ''p-chro machinish 7/4'' may be used, as they are also explicit in their ranges. If the MOS name ends in -ic, substitute by -oid (pentic -> pentoid). If the MOS name doesn't end in -ic or -oid, add -oid (lime -> limoid). If the MOS ends in -oid, recover original ending and add -ish, unless it ends in -us, in which case substitute. (sephiroid -> sephiroth -> sephirothish, dicoid -> dicot -> dicotish, helenoid -> helenus -> helenish) | ||
{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
!Diatonic | ! Diatonic<br>relationship | ||
relationship | ! Scale<br>Signature | ||
!Scale | ! TAMNAMS<br>based name | ||
Signature | ! EiE (3/2) | ||
!TAMNAMS | ! L:s describes | ||
based name | ! Notes on mappings | ||
!EiE (3/2) | |||
!L:s describes | |||
!Notes on mappings | |||
|- | |- | ||
|self | | self | ||
|'''5L 2s''' | | '''5L 2s''' | ||
|'''diatonic''' | | '''diatonic''' | ||
|5i7 | | 5i7 | ||
|M2:m2 | | M2:m2 | ||
|M2 and m2 are the major and minor seconds | | M2 and m2 are the major and minor seconds;<br>A1 is the chroma, the apotome. | ||
A1 is the chroma, the apotome. | |||
|- | |- | ||
| rowspan="2" |daughter | | rowspan="2" | daughter | ||
|'''5L 7s''' | | '''5L 7s''' | ||
|'''<u>p-chromatic</u>''' | | '''<u>p-chromatic</u>''' | ||
|5i12 | | 5i12 | ||
|A1:m2 | | A1:m2 | ||
| rowspan="2" |d-2 is the chroma, the pythagorean comma. | | rowspan="2" | d-2 is the chroma, the pythagorean comma. | ||
|- | |- | ||
|7L 5s | | 7L 5s | ||
|m-chromatic | | m-chromatic | ||
|12i7 | | 12i7 | ||
|m2:A1 | | m2:A1 | ||
|- | |- | ||
| rowspan="4" |granddaughter | | rowspan="4" | granddaughter | ||
|5L 12s | | 5L 12s | ||
|s-enharmonic | | s-enharmonic | ||
|5i17 | | 5i17 | ||
|d-2:m2 | | d-2:m2 | ||
| rowspan="2" |dd3 is the chroma, the ''gothic'' [[17-comma]]. | | rowspan="2" | dd3 is the chroma, the ''gothic'' [[17-comma]]. | ||
|- | |- | ||
|'''12L 5s''' | | '''12L 5s''' | ||
|'''p-enharmonic''' | | '''p-enharmonic''' | ||
|17i12 | | 17i12 | ||
|m2:d-2 | | m2:d-2 | ||
|- | |- | ||
|12L 7s | | 12L 7s | ||
|m-enharmonic | | m-enharmonic | ||
|12i19 | | 12i19 | ||
|m2:d2 | | m2:d2 | ||
| rowspan="2" |d2 is the meantone diesis; dd-2 is the chroma, | | rowspan="2" | d2 is the meantone diesis; dd-2 is the chroma, <br>the meantone kleisma. | ||
the meantone kleisma. | |||
|- | |- | ||
|7L 12s | | 7L 12s | ||
|f-enharmonic | | f-enharmonic | ||
|19i7 | | 19i7 | ||
|d2:m2 | | d2:m2 | ||
|- | |- | ||
| rowspan="2" |3rd-descendant | | rowspan="2" | 3rd-descendant | ||
|'''12L 17s''' | | '''12L 17s''' | ||
|'''pythagotonic''' | | '''pythagotonic''' | ||
|29i12 | | 29i12 | ||
|dd3:d-2 | | dd3:d-2 | ||
| rowspan="2" |4d4 is the chroma, the ''mystery'' [[29-comma]]. | | rowspan="2" | 4d4 is the chroma, the ''mystery'' [[29-comma]]. | ||
|- | |- | ||
|17L 12s | | 17L 12s | ||
|gothitonic | | gothitonic | ||
|29i17 | | 29i17 | ||
|d-2:dd3 | | d-2:dd3 | ||
|- | |- | ||
| rowspan="2" |4th-descendant | | rowspan="2" | 4th-descendant | ||
|12L 29s | | 12L 29s | ||
|'''pythamystonic''' | | '''pythamystonic''' | ||
|41i12 | | 41i12 | ||
|4d4:d-2 | | 4d4:d-2 | ||
| rowspan="2" |6d5 is the chroma, | | rowspan="2" | 6d5 is the chroma, <br>the ''countercomp'' [[41-comma]]. | ||
the ''countercomp'' [[41-comma]]. | |||
|- | |- | ||
|29L 12s | | 29L 12s | ||
|''countermystonic'' | | ''countermystonic'' | ||
|41i29 | | 41i29 | ||
|d-2:4d4 | | d-2:4d4 | ||
|- | |- | ||
| rowspan="2" |5th-descendant | | rowspan="2" | 5th-descendant | ||
|'''41L 12s''' | | '''41L 12s''' | ||
|'''<u>pythomerc</u>''' | | '''<u>pythomerc</u>''' | ||
|41i53 | | 41i53 | ||
|d-2:6d5 | | d-2:6d5 | ||
| rowspan="2" |7d-6 is the chroma, the ''mercator'' [[53-comma]]. | | rowspan="2" | 7d-6 is the chroma, the ''mercator'' [[53-comma]]. | ||
|- | |- | ||
|12L 41s | | 12L 41s | ||
|''comptomerc'' | | ''comptomerc'' | ||
|53i12 | | 53i12 | ||
|6d5:d-2 | | 6d5:d-2 | ||
|- | |- | ||
| rowspan="4" |6th-descendant | | rowspan="4" | 6th-descendant | ||
|41L 53s | | 41L 53s | ||
|''garytonic'' | | ''garytonic'' | ||
|41i94 | | 41i94 | ||
|7d-6:6d5 | | 7d-6:6d5 | ||
| rowspan="2" |13d10 is the chroma, the [[94-comma]]. | | rowspan="2" | 13d10 is the chroma, the [[94-comma]]. | ||
|- | |- | ||
|'''53L 41s''' | | '''53L 41s''' | ||
|'''''acupyth''''' | | '''''acupyth''''' | ||
|94i53 | | 94i53 | ||
|6d5:7d-6 | | 6d5:7d-6 | ||
|- | |- | ||
|53L 12s | | 53L 12s | ||
|''pontiacitonic'' | | ''pontiacitonic'' | ||
|53i65 | | 53i65 | ||
|d-2:7d6 | | d-2:7d6 | ||
| rowspan="2" |7d6 is the inverse mercator comma. | | rowspan="2" | 7d6 is the inverse mercator comma.<br>The chroma is 9d-7, the [[65-comma|65-comma.]] | ||
The chroma is 9d-7, the [[65-comma|65-comma.]] | |||
|- | |- | ||
|12L 53s | | 12L 53s | ||
|''comptograc'' | | ''comptograc'' | ||
|65i12 | | 65i12 | ||
|7d6:d-2 | | 7d6:d-2 | ||
|- | |- | ||
|. | | .<br>.<br>. | ||
. | | '''53L 94s'''<br>'''53L 147s'''<br>'''53L 200s''' | ||
. | | '''''p-chro acupyth'''''<br>'''''s-enhar acupyth'''''<br>'''''uha acupyth''''' | ||
|'''53L 94s''' | | 147i53<br>200i53<br>253i53 | ||
'''53L 147s''' | | 13d10:7d-6<br>21d15:7d-6<br>28d20:7d-6 | ||
'''53L 200s''' | | rowspan="2" | Large steps are semiconvergent commas. | ||
|'''''p-chro acupyth''''' | |||
'''''s-enhar acupyth''''' | |||
'''''uha acupyth''''' | |||
|147i53 | |||
200i53 | |||
253i53 | |||
|13d10:7d-6 | |||
21d15:7d-6 | |||
28d20:7d-6 | |||
| rowspan="2" |Large steps are semiconvergent commas. | |||
|- | |- | ||
|10th-descendant | | 10th-descendant | ||
|'''53L 253s''' | | '''53L 253s''' | ||
|'''''qiantonic''''' | | '''''qiantonic''''' | ||
|306i53 | | 306i53 | ||
|36d25:7d-6 | | 36d25:7d-6 | ||
|- | |- | ||
|11th-descendant | | 11th-descendant | ||
|'''306L 53s''' | | '''306L 53s''' | ||
|'''''m-chro qiantonic''''' | | '''''m-chro qiantonic''''' | ||
|359i306 | | 359i306 | ||
|7d-6:43d30 | | 7d-6:43d30 | ||
| rowspan="2" |51d-35 and 43d30 are the [[359-comma|large]] and [[306-comma|small]] | | rowspan="2" | 51d-35 and 43d30 are the [[359-comma|large]] and [[306-comma|small]]<br>Qian commas respectively.<br>The chroma is the [[satanic comma]]. | ||
Qian commas respectively. | |||
The chroma is the [[satanic comma]]. | |||
|- | |- | ||
|12th-descendant | | 12th-descendant | ||
|'''306L 359s''' | | '''306L 359s''' | ||
|'''picopyth''' | | '''picopyth''' | ||
|306i665 | | 306i665 | ||
|51d-35:43d30 | | 51d-35:43d30 | ||
|} | |} | ||
The names of the MOSes are coined as follows: | The names of the MOSes are coined as follows: | ||