User:Eufalesio/Fifth scale tree: Difference between revisions

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m MOS-based adjectives: proper line-breaks
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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: