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#As every other generator of the third-fifths [[pergen]] (P8, P5/3), which is the pergen for [[slendric]]. This is backwards compatible with a notation that has fifths.
#As every other generator of the third-fifths [[pergen]] (P8, P5/3), which is the pergen for [[slendric]]. This is backwards compatible with a notation that has fifths.
==Oneirotonic MOS (5L 3s)==
==Oneirotonic MOS (5L 3s)==
The term '''oneirotonic''' is used for the 8-note MOS [[5L 3s]], whose brightest mode is 22122121. The name "oneirotonic" was coined by [[Cryptic Ruse]] after the Dreamlands in H.P. Lovecraft's Dream Cycle mythos. Oneirotonic modes are named after cities in the Dreamlands. It can be viewed as the analogue of diatonic in A-Team; oneirotonic is a distorted diatonic, because it has one extra small step compared to diatonic ([[5L 2s]]).
The term '''oneirotonic''' is used for the 8-note MOS [[5L 3s]], whose brightest mode is LLsLLsLs. The name "oneirotonic" was coined by [[Cryptic Ruse]] after the Dreamlands in H.P. Lovecraft's Dream Cycle mythos. Oneirotonic modes are named after cities in the Dreamlands. It can be viewed as the analogue of diatonic in A-Team; oneirotonic is a distorted diatonic, because it has one extra small step compared to diatonic ([[5L 2s]]).
 
The large and small step sizes of oneirotonic are as follows:
 
{| class="wikitable right-1 right-2 right-3 right-4 sortable"
|-
! style="text-align:right" | Degree
! 13edo
! 18edo
! 31edo
|-
| L
| 2\13, 184.62
| 3\18, 200.00
| 5\31, 193.55
| 0
|-
| s
| 1\13, 92.31
| 1\18, 66.66
| 2\31, 77.42
|}


The names I use for the oneirotonic interval classes are borrowed from diatonic interval categories: "second", "third", "fourth", "tritone" (4-step intervals), "fifth" (5-step intervals), "sixth" (6-step intervals), "seventh" (7-step intervals) and octave. You just have to remember that there's an extra category between fourths and fifths and that fourths and fifths are dissonant. Like in archeotonic you can change the perception of an interval by approaching it from different directions, but in oneirotonic it will change what diatonic interval class you hear it as: say, as both a third and a fourth, rather than both a major and a minor third.
The names I use for the oneirotonic interval classes are borrowed from diatonic interval categories: "second", "third", "fourth", "tritone" (4-step intervals), "fifth" (5-step intervals), "sixth" (6-step intervals), "seventh" (7-step intervals) and octave. You just have to remember that there's an extra category between fourths and fifths and that fourths and fifths are dissonant. Like in archeotonic you can change the perception of an interval by approaching it from different directions, but in oneirotonic it will change what diatonic interval class you hear it as: say, as both a third and a fourth, rather than both a major and a minor third.


=== Intervals ===
=== Intervals ===
The Dylathian mode is the most otonal mode, and is the basis for Kentaku note names JKLMNOPQJ (J is approx. 180 Hz, or an 11/8 above middle C). Sortable table of Dylathian (Harmonics are in bold; this is useful for seeing a chord's complexity when you sort the intervals according to the generator chain):
Sortable table of Dylathian, the brightest mode (Harmonics are in bold; this is useful for seeing a chord's complexity when you sort the intervals according to the generator chain):


{| class="wikitable right-1 right-2 right-3 right-4 sortable"
{| class="wikitable sortable"
|-
|-
! style="text-align:right" | Degree
! style="text-align:right" | Degree
! Cents (13edo)
! Size in 13edo
! Cents (18edo)
! Size in 18edo
! Cents (31edo)
! Size in 31edo
! Note name on J
! Note name on J
! Approximate ratios
! Approximate ratios
! #Gens up
! #Gens up
|-
|-
| 1, 9
| 1
| 0.00, 1200.00
| 0\13, 0.00
| 0.00, 1200.00
| 0\18, 0.00
| 0.00, 1200.00
| 0\31, 0.00
| J
| J
| '''1/1''', '''2/1'''
| '''1/1'''
| 0
| 0
|-
|-
| 2
| 2
| 184.62
| 2\13, 184.62
| 200.00
| 3\18, 200.00
| 193.55
| 5\31, 193.55
| K
| K
| '''9/8''', 10/9, 11/10, 19/17, 21/19  
| '''9/8''', 10/9, 11/10, 19/17, 21/19  
Line 44: Line 65:
|-
|-
| 3
| 3
| 369.23
| 4\13, 369.23
| 400.00
| 6\18, 400.00
| 387.10
| 10\31, 387.10
| L
| L
| '''5/4''', 11/9, 16/13, 26/21
| '''5/4''', 11/9, 16/13, 26/21
Line 52: Line 73:
|-
|-
| 4
| 4
| 461.54  
| 5\13, 461.54  
| 466.67
| 7\18, 466.67
| 464.52
| 12\31, 464.52
| M
| M
| 13/10, 17/13, '''21/16''', 22/17  
| 13/10, 17/13, '''21/16''', 22/17  
Line 60: Line 81:
|-
|-
| 5
| 5
| 646.15
| 7\13, 646.15
| 666.66
| 10\18, 666.66
| 658.06
| 17\31, 658.06
| N
| N
| 16/11, 13/9, 19/13  
| 16/11, 13/9, 19/13  
Line 68: Line 89:
|-
|-
| 6
| 6
| 830.77
| 9\13, 830.77
| 866.66
| 13\18, 866.66
| 851.61
| 22\31, 851.61
| O
| O
| 8/5, '''13/8''', 18/11, 21/13  
| 8/5, '''13/8''', 18/11, 21/13  
Line 76: Line 97:
|-
|-
| 7
| 7
| 923.08
| 10\13, 923.08
| 933.33
| 14\18, 933.33
| 929.03
| 24\31, 929.03
| P
| P
| 17/10, 12/7, 22/13, 19/11
| 17/10, 12/7, 22/13, 19/11
Line 84: Line 105:
|-
|-
| 8
| 8
| 1107.69
| 12\13, 1107.69
| 1133.33
| 17\18, 1133.33
| 1122.58  
| 29\31, 1122.58  
| Q
| Q
| 17/9, 19/10, 21/11, 32/17, 36/19, 40/21
| 17/9, 19/10, 21/11, 32/17, 36/19, 40/21
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