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This page lists some useful and/or interesting modes (subsets) of [[41edo]] .
This page lists some useful and/or interesting modes (subsets) of [[41edo]].


=MOS=
== MOS ==
(maximally even scales indicated by *)
Maximally even scales are indicated by *


'''generator = 1\41'''
'''Generator = 1\41 ([[Slendi]])'''


[3] [4] [5] etc.
[3] [4] [5] etc.
Line 11: Line 11:
[40*]  1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2  
[40*]  1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2  


'''g=2 ([[Hemimiracle]])'''
'''g = 2 ([[Hemimiracle]])'''


[3] [4] [5] etc.
[3] [4] [5] etc.
Line 19: Line 19:
[21*]  2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1  
[21*]  2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1  


'''g=3 ([[Octacot]])'''
'''g = 3 ([[Octacot]])'''


[3] [4] [5] etc.
[3] [4] [5] etc.
Line 29: Line 29:
[27*]  1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 2  
[27*]  1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 2  


'''g=4 ([[Miracle]])'''
'''g = 4 ([[Miracle]])'''


[3] [4] [5] etc.
[3] [4] [5] etc.
Line 41: Line 41:
[31*]  2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 1  
[31*]  2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 1  


'''g=5 ([[bohpier]])'''
'''g = 5 ([[Bohpier]])'''


[8*]  5 5 5 5 5 5 5 6  
[8*]  5 5 5 5 5 5 5 6  
Line 53: Line 53:
[33*]  2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 1  
[33*]  2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 1  


note: the non-octave [[Bohlen-Pierce]] scale is simply 5 5 5 5 5 5 5 5 5 5 5 5 5, repeating at [[3/1]] (65\[[41edo|41]])
Note: the non-octave [[Bohlen–Pierce scale]] is simply 5 5 5 5 5 5 5 5 5 5 5 5 5, repeating at [[3/1]] (65\[[41edo|41]])


'''g=6 ([[Tetracot]] / [[Bunya]] / [[Monkey]])'''
'''g = 6 ([[Tetracot]] / [[bunya]] / [[monkey]])'''


[7*]  6 6 6 6 6 6 5  
[7*]  6 6 6 6 6 6 5  
Line 67: Line 67:
[34*]  1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 2  
[34*]  1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 2  


'''g=7 ([[Baldy]])'''
'''g = 7 ([[Baldy]], [[quadrimage]])'''


[6*]  7 7 7 7 7 6  
[6*]  7 7 7 7 7 6  
Line 79: Line 79:
[29] [35*]
[29] [35*]


'''g=8 ([[Rodan]] / [[Guiron]] / [[Slendric]]?)'''
'''g = 8 ([[Slendric]] / [[rodan]] / [[guiron]])'''


[5*]  8 8 8 8 9  
[5*]  8 8 8 8 9  
Line 93: Line 93:
[26] [31] [36*]
[26] [31] [36*]


'''g=9 ([[Septimin]])'''
'''g = 9 ([[Septimin]])'''


[5]  9 9 9 9 5  
[5]  9 9 9 9 5  
Line 105: Line 105:
[32*]  2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 1  
[32*]  2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 1  


'''g=10 ([[Quasitemp]])'''
'''g = 10 ([[Quasitemp]])'''


[4*]  10 10 10 11  
[4*]  10 10 10 11  
Line 119: Line 119:
[21] [25] [29] etc.
[21] [25] [29] etc.


'''g=11 ([[Superkleismic]] / [[Orgone]]?)'''
'''g = 11 ([[Superkleismic]], [[orgone]])'''


[7]  3 8 3 8 3 8 8  
[7]  3 8 3 8 3 8 8  
Line 129: Line 129:
[26*]  1 2 1 2 1 2 2 1 2 1 2 1 2 2 1 2 1 2 1 2 2 1 2 1 2 2  
[26*]  1 2 1 2 1 2 2 1 2 1 2 1 2 2 1 2 1 2 1 2 2 1 2 1 2 2  


'''g=12 ([[Hemififths]] / [[Karadeniz]] / [[Beatles]]?)'''
'''g = 12 ([[Hemif]] / [[hemififths]] / [[salsa]] / [[karadeniz]])'''


[7]  7 5 7 5 7 5 5  
[7]  7 5 7 5 7 5 5  
Line 139: Line 139:
[24*]  2 2 2 1 2 2 1 2 2 2 1 2 2 1 2 2 2 1 2 2 1 2 2 1  
[24*]  2 2 2 1 2 2 1 2 2 2 1 2 2 1 2 2 2 1 2 2 1 2 2 1  


'''g=13 ([[Magic]] / [[Witchcraft]])'''
'''g = 13 ([[Magic]] / [[witchcraft]])'''


[7]  11 2 11 2 11 2 2  
[7]  11 2 11 2 11 2 2  
Line 153: Line 153:
[22*]  1 2 2 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2 2 2  
[22*]  1 2 2 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2 2 2  


'''g=14 ([[Hocus]])'''
'''g = 14 ([[Hocum]], [[hocus]])'''


[3*]  14 14 13  
[3*]  14 14 13  
Line 169: Line 169:
[20] [23] [26] [29] etc.
[20] [23] [26] [29] etc.


'''g=15 ([[Stacks]]?)'''
'''g = 15 ([[Superthird]], [[stacks]])'''


[5]  4 11 4 11 11  
[5]  4 11 4 11 11  
Line 181: Line 181:
[30*]  1 1 2 1 1 2 1 1 2 1 2 1 1 2 1 1 2 1 1 2 1 2 1 1 2 1 1 2 1 2  
[30*]  1 1 2 1 1 2 1 1 2 1 2 1 1 2 1 1 2 1 1 2 1 2 1 1 2 1 1 2 1 2  


'''g=16 ([[Barbad]])'''
'''g = 16 ([[Barbad]])'''


[5]  7 9 7 9 9  
[5]  7 9 7 9 9  
Line 193: Line 193:
[23*]  1 2 2 2 1 2 2 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 2  
[23*]  1 2 2 2 1 2 2 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 2  


'''g=17 ([[Schismic]] / [[Schismatic]] / [[Helmholtz]] / [[Garibaldi]] / [[Cassandra]])'''
'''g = 17 ([[Helmholtz (temperament)|Helmholtz]] / [[garibaldi]] / [[cassandra]] / [[andromeda]])'''


[5]  10 7 10 7 7  
[5]  10 7 10 7 7  
Line 205: Line 205:
[29*]  2 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 1  
[29*]  2 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 1  


'''g=18 ([[Trismegistus]])'''
'''g = 18 ([[Trismegistus]])'''


[5]  13 5 13 5 5  
[5]  13 5 13 5 5  
Line 217: Line 217:
[25*]  1 2 1 2 2 1 2 2 1 2 2 1 2 1 2 2 1 2 2 1 2 2 1 2 2  
[25*]  1 2 1 2 2 1 2 2 1 2 2 1 2 1 2 2 1 2 2 1 2 2 1 2 2  


'''g=19 ([[Kangaroo]]? / [[Thuja]]?)'''
'''g = 19 ([[Alphorn]])'''


[5]  16 3 16 3 3  
[5]  16 3 16 3 3  
Line 233: Line 233:
[28*]  1 1 2 1 2 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 1 2 1 2  
[28*]  1 1 2 1 2 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 1 2 1 2  


'''g=20 ([[Pluto]])'''
'''g = 20 ([[Pluto]], [[merman]])'''


[5]  19 1 19 1 1  
[5]  19 1 19 1 1  
Line 242: Line 242:


[11] [13] [15] [17] etc.
[11] [13] [15] [17] etc.
g=21 <--> g=20
g=22 <--> g=19


etc.
etc.


=Non-MOS=
== Non-MOS ==
 
=== Harmonic series approximations ===
==Harmonic series approximations==
[5]  11 9 8 7 6  harmonic series 5:6:7:8:9:10
[5]  11 9 8 7 6  harmonic series 5:6:7:8:9:10


Line 262: Line 257:
[12]  5 4 4 4 4 3 3 3 3 3 2 3  harmonic series 12::24
[12]  5 4 4 4 4 3 3 3 3 3 2 3  harmonic series 12::24


(reverse these for subharmonic scales)
(Reverse these for subharmonic scales)


==Others==
=== Others ===
from Scala:
from Scala:


Line 281: Line 276:
[12]  4 3 4 2 4 3 4 4 2 4 3 4  "just" chromatic
[12]  4 3 4 2 4 3 4 4 2 4 3 4  "just" chromatic


...
…
 
=Partial scales=


==Tetrachords==
== Partial scales ==
=== Tetrachords ===
(from Scala)
(from Scala)


Line 320: Line 314:
3 7 7  (0-3-10-17)  Eratostenes' Diatonic, Pythagorean Diatonic, Ptolemy's Diatonon Ditoniaion
3 7 7  (0-3-10-17)  Eratostenes' Diatonic, Pythagorean Diatonic, Ptolemy's Diatonon Ditoniaion


3 11 3  (0-3-14-17)  Xenakis       
3 11 3  (0-3-14-17)  [[Xenakis]]      


4 4 9  (0-4-8-17)  Avicenna       
4 4 9  (0-4-8-17)  Avicenna       
Line 368: Line 362:
8 7 2  (0-8-15-17)  Septimal 'Ajam     
8 7 2  (0-8-15-17)  Septimal 'Ajam     


==Pentachords==
=== Pentachords ===
(from Scala)
(from Scala)


Line 399: Line 393:
7 7 6 4  (0-7-14-20-24)  Pencgâh
7 7 6 4  (0-7-14-20-24)  Pencgâh


{{Navbox scale gallery}}
[[Category:41edo]]
[[Category:41edo]]
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