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41edo: Difference between revisions

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→Intervals: added Praveen's solfege
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autopatrolled, Sysops
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Line 28: Line 28:


== Intervals ==
== Intervals ==
{| class="wikitable center-1 right-2 center-5 center-6 center-7 center-8"
{| class="wikitable center-1 right-2 center-5 center-6 center-7 center-8 center-9"
! #
! #
! Cents
! Cents
Line 34: Line 34:
! colspan="3" | [[Ups and Downs Notation]]
! colspan="3" | [[Ups and Downs Notation]]
! Andrew's<br>Solfege
! Andrew's<br>Solfege
! [[Kite Giedraitis|Kite]]'s<br>Solfege
! Praveen's<br>solfege **
!Praveen's
solfege **
|-
|-
| 0
| 0
Line 45: Line 43:
| D
| D
| do
| do
| do
|Da
|da
|-
|-
| 1
| 1
Line 55: Line 52:
| ^D
| ^D
| di
| di
| da
|Du
|de
|-
|-
| 2
| 2
Line 65: Line 61:
| ^^D, vEb
| ^^D, vEb
| ro
| ro
| ru
|Fro
|fro
|-
|-
| 3
| 3
Line 75: Line 70:
| vD#, Eb
| vD#, Eb
| rih
| rih
| ro
|Fra
|fra
|-
|-
| 4
| 4
Line 85: Line 79:
| D#, ^Eb
| D#, ^Eb
| ra
| ra
| ra
|Fru
|fre
|-
|-
| 5
| 5
Line 95: Line 88:
| ^D#, vvE
| ^D#, vvE
| ru
| ru
| ruh
|Fri ("free")
|fri ("free")
|-
|-
| 6
| 6
Line 105: Line 97:
| vE
| vE
| reh
| reh
| reh
|Ro
|ro
|-
|-
| 7
| 7
Line 115: Line 106:
| E
| E
| re
| re
| rih
|Ra
|ra
|-
|-
| 8
| 8
Line 125: Line 115:
| ^E
| ^E
| ri
| ri
| ri
|Ru
|re
|-
|-
| 9
| 9
Line 135: Line 124:
| vF
| vF
| ma
| ma
| mu
|No
|no
|-
|-
| 10
| 10
Line 145: Line 133:
| F
| F
| meh
| meh
| mo
|Na
|na
|-
|-
| 11
| 11
Line 155: Line 142:
| ^F
| ^F
| me
| me
| ma
|Nu
|ne
|-
|-
| 12
| 12
Line 165: Line 151:
| ^^F, vGb
| ^^F, vGb
| mu
| mu
| muh
|Ni
|ni
|-
|-
| 13
| 13
Line 175: Line 160:
| vF#, Gb
| vF#, Gb
| mi
| mi
| meh
|Mo
|mo
|-
|-
| 14
| 14
Line 185: Line 169:
| F#, ^Gb
| F#, ^Gb
| maa
| maa
| mih
|Ma
|ma
|-
|-
| 15
| 15
Line 195: Line 178:
| ^F#, vvG
| ^F#, vvG
| mo
| mo
| mi
|Mu
|me
|-
|-
| 16
| 16
Line 205: Line 187:
| vG
| vG
| fe
| fe
| fu
|Fo
|fo
|-
|-
| 17
| 17
Line 215: Line 196:
| G
| G
| fa
| fa
| fo
|Fa
|fa
|-
|-
| 18
| 18
Line 225: Line 205:
| ^G
| ^G
| fih
| fih
| fa
|Fu
|fe
|-
|-
| 19
| 19
Line 235: Line 214:
| ^^G, vAb
| ^^G, vAb
| fu
| fu
| fuh
|Fi
|fi? sho?
|-
|-
| 20
| 20
Line 245: Line 223:
| vG#, Ab
| vG#, Ab
| fi
| fi
| feh / so
|Sha
|sha
|-
|-
| 21
| 21
Line 255: Line 232:
| G#, ^Ab
| G#, ^Ab
| se
| se
| fih / sa
|Shu
|she
|-
|-
| 22
| 22
Line 265: Line 241:
| vvA
| vvA
| su
| su
| suh
|Shi
|shi
|-
|-
| 23
| 23
Line 275: Line 250:
| vA
| vA
| sih
| sih
| seh
|So
|so
|-
|-
| 24
| 24
Line 285: Line 259:
| A
| A
| sol
| sol
| sih
|Sa
|sa
|-
|-
| 25
| 25
Line 295: Line 268:
| ^A
| ^A
| si
| si
| si
|Su
|se
|-
|-
| 26
| 26
Line 305: Line 277:
| ^^A, vBb
| ^^A, vBb
| lo
| lo
| lu
|Flo
|flo
|-
|-
| 27
| 27
Line 315: Line 286:
| vA#, Bb
| vA#, Bb
| leh
| leh
| lo
|Fla
|fla
|-
|-
| 28
| 28
Line 325: Line 295:
| A#, ^Bb
| A#, ^Bb
| le
| le
| la
|Flu
|fle
|-
|-
| 29
| 29
Line 335: Line 304:
| ^A#, vvB
| ^A#, vvB
| lu
| lu
| luh
|Fli
|fli
|-
|-
| 30
| 30
Line 345: Line 313:
| vB
| vB
| la
| la
| leh
|Lo
|lo
|-
|-
| 31
| 31
Line 355: Line 322:
| B
| B
| laa
| laa
| lih
|La
|la
|-
|-
| 32
| 32
Line 365: Line 331:
| ^B
| ^B
| li
| li
| li
|Lu
|le
|-
|-
| 33
| 33
Line 375: Line 340:
| vC
| vC
| ta
| ta
| tu
|Tho
|tho
|-
|-
| 34
| 34
Line 385: Line 349:
| C
| C
| teh
| teh
| to
|Tha
|tha
|-
|-
| 35
| 35
Line 395: Line 358:
| ^C
| ^C
| te
| te
| ta
|Thu
|the
|-
|-
| 36
| 36
Line 405: Line 367:
| ^^C, vDb
| ^^C, vDb
| tu
| tu
| tuh
|Thi
|thi
|-
|-
| 37
| 37
Line 415: Line 376:
| vC#, Db
| vC#, Db
| ti
| ti
| teh
|To
|to
|-
|-
| 38
| 38
Line 425: Line 385:
| C#, ^Db
| C#, ^Db
| taa
| taa
| tih
|Ta
|ta
|-
|-
| 39
| 39
Line 435: Line 394:
| C#^, vvD
| C#^, vvD
| to
| to
| ti
|Tu
|te
|-
|-
| 40
| 40
Line 445: Line 403:
| vD
| vD
| da
| da
| du
|Do
|do
|-
|-
| 41
| 41
Line 455: Line 412:
| D
| D
| do
| do
| do
|Da
|da
|}
|}
<nowiki>*</nowiki> Based on treating 41edo as a 2.3.5.7.11.13.19 subgroup temperament; other approaches are possible.  
<nowiki>*</nowiki> Based on treating 41edo as a 2.3.5.7.11.13.19 subgroup temperament; other approaches are possible.  


<nowiki>**</nowiki> Uses the consonants DRMFSLTD from standard solfege, plus fr- = flat r-, n- = flat m-, sha = flat s-, fl- = flat l- and th- = flat t-. Pythagorean scales end in -a: major = Da Ra Ma Fa Sa La Ta Da, phrygian = Da Fra Na Fa Sa Fla Tha Da.   
<nowiki>**</nowiki> Uses the consonants DRMFSLTD from standard solfege, plus '''<u>F</u>'''r- = '''<u>f</u>'''lat R-, N- = flat M-, Sh- = flat S-, '''<u>F</u>'''l- = '''<u>f</u>'''lat L- and Th- = flat T-. Vowels run -o -a -u (-i).
 
Pythagorean/plain notes end in -a. Plain major = Da Ra Ma Fa Sa La Ta Da. Plain phrygian = Da Fra Na Fa Sa Fla Tha Da. 
 
'''<u>U</u>'''pmajor and '''<u>u</u>'''pminor notes end in -u. Upmajor: Da Ra Mu Fa Sa Lu Tu Da. Upminor: Da Ra Nu Fa Sa Flu Thu Da. 
 
D'''<u>o</u>'''wnmajor and d'''<u>o</u>'''wnminor notes end in -o. Downmajor: Da Ra Mo Fa Sa Lo To Da. Downminor: Da Ra No Fa Sa Flo Tho Da. 
 
Mid/neutral notes end in -i ("-ee"). [[Genchain mode numbering|3rd]] mode of [[243/242#Neutral|Lulu/Rastmic[7]]]: Da Ra Ni Fa Sa Fli Thi Da. 2nd mode: Da Ra Ni Fi Sa Fli Thi Da. 
 
Fro = '''<u>f</u>'''lat-'''<u>r</u>'''e-d'''<u>o</u>'''wn = vm2, Fra = '''<u>f</u>'''lat-'''<u>r</u>'''e = m2, Fru = '''<u>f</u>'''lat-'''<u>r</u>'''e-'''<u>u</u>'''p = ^m2, Fri = '''<u>f</u>'''lat-'''<u>r</u>'''e-m'''<u>i</u>'''d = ~2, Ro = '''<u>r</u>'''e-d'''<u>o</u>'''wn = vM2, Ra = '''<u>r</u>'''e = M2, Ru = '''<u>r</u>'''e-'''<u>u</u>'''p = ^M2.   
 
Harmonics 8-16: Da Ra Mo Fi Sa Fli Tho To Da. (11/8 is Fi not Sho, breaking the pattern to make it a 4th not a 5th.)   


Combining ups and downs notation with [[color notation]], qualities can be loosely associated with colors:
Combining ups and downs notation with [[color notation]], qualities can be loosely associated with colors:
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