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| 2\31, 77.42
| 2\31, 77.42
|}
|}
==== Intervals ====
Sortable table of intervals in the Dylathian mode in hypohard oneiro tunings:
{| class="wikitable right-2 right-3 right-4 sortable"
|-
! Degree
! Size in 13edo
! Size in 18edo
! Size in 31edo
! Note name on Q
! class="unsortable"| Approximate ratios<ref>The ratio interpretations that are not valid for 18edo are italicized.</ref>
! #Gens up
|-
| 1
| 0\13, 0.00
| 0\18, 0.00
| 0\31, 0.00
| Q
| 1/1
| 0
|-
| 2
| 2\13, 184.62
| 3\18, 200.00
| 5\31, 193.55
| J
| 9/8, 10/9
| +3
|-
| 3
| 4\13, 369.23
| 6\18, 400.00
| 10\31, 387.10
| K
| 5/4
| +6
|-
| 4
| 5\13, 461.54
| 7\18, 466.67
| 12\31, 464.52
| L
| 21/16, ''13/10''
| +1
|-
| 5
| 7\13, 646.15
| 10\18, 666.66
| 17\31, 658.06
| M
| ''13/9'', ''16/11''
| +4
|-
| 6
| 9\13, 830.77
| 13\18, 866.66
| 22\31, 851.61
| N
| ''13/8'', ''18/11''
| +7
|-
| 7
| 10\13, 923.08
| 14\18, 933.33
| 24\31, 929.03
| O
| 12/7
| +2
|-
| 8
| 12\13, 1107.69
| 17\18, 1133.33
| 29\31, 1122.58
| P
|
| +5
|}
<references/>


=== Hyposoft ===
=== Hyposoft ===
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|}
|}


=== Softer-than-soft tunings ===
==== Intervals ====
Oneirotonic tunings of step ratio between 6/5 and 3/2 equates three oneirotonic large steps to a diatonic perfect fourth, i.e. equates the oneirotonic large step to a [[porcupine]] generator. [This identification may come in handy since many altered oneirotonic modes have three consecutive large steps.]
Sortable table of intervals in the Dylathian mode in hyposoft tunings:
{| class="wikitable right-2 right-3 right-4 right-5 sortable"
|-
! Degree
! Size in 13edo
! Size in 21edo
! Size in 34edo
! Note name on Q
! class="unsortable"| Approximate ratios
! #Gens up
|-
| 1
| 0\13, 0.00
| 0\21, 0.00
| 0\34, 0.00
| Q
| 1/1
| 0
|-
| 2
| 2\13, 184.62
| 3\21, 171.43
| 5\34, 176.47
| J
| 10/9, 11/10
| +3
|-
| 3
| 4\13, 369.23
| 6\21, 342.86
| 10\34, 352.94
| K
| 11/9, 16/13
| +6
|-
| 4
| 5\13, 461.54
| 8\21, 457.14
| 13\34, 458.82
| L
| 13/10, 17/13, 22/17
| +1
|-
| 5
| 7\13, 646.15
| 11\21, 628.57
| 18\34, 635.294
| M
| 13/9, 16/11, 23/16 (esp. 21edo)
| +4
|-
| 6
| 9\13, 830.77
| 14\21, 800.00
| 23\34, 811.77
| N
| 8/5
| +7
|-
| 7
| 10\13, 923.08
| 16\21, 914.29
| 26\34, 917.65
| O
| 17/10
| +2
|-
| 8
| 12\13, 1107.69
| 19\21, 1085.71
| 31\34, 1094.12
| P
| 17/9, 32/17, 15/8
| +5
|}
=== Supersoft to ultrasoft tunings ===
Oneirotonic tunings of step ratio between 6/5 and 3/2 equate three oneirotonic large steps to a diatonic perfect fourth, i.e. they equate the oneirotonic large step to a [[porcupine]] generator. [This identification may come in handy since many altered oneirotonic modes have three consecutive large steps.]


The sizes of the generator, large step and small step of oneirotonic are as follows in various parahard tunings.
The sizes of the generator, large step and small step of oneirotonic are as follows in various tunings in this range.
{| class="wikitable right-2 right-3 right-4 right-5"
{| class="wikitable right-2 right-3 right-4 right-5"
|-
|-
!  
!  
! [[21edo]]
! [[29edo]]
! [[29edo]]
! [[37edo]]
! [[37edo]]
! [[45edo]]
|-
|-
| generator (g)
| generator (g)
| 8\21, 457.14
| 11\29, 455.17
| 11\29, 455.17
| 14\37, 454.05
| 14\37, 454.05
| 17\45, 453.33
|-
|-
| L (3g - octave)
| L (3g - octave)
| 3\21, 171.43
| 4\29, 165.52
| 4\29, 165.52
| 5\37, 162.16
| 5\37, 162.16
| 6\45, 160.00
|-
|-
| s (-5g + 2 octaves)
| s (-5g + 2 octaves)
| 2\21, 114.29
| 3\29, 124.14
| 3\29, 124.14
| 4\37, 129.73
| 4\37, 129.73
| 5\45, 133.33
|}
|}
 
==== Intervals ====
The sizes of the generator, large step and small step of oneirotonic are as follows in these tunings.
{| class="wikitable right-2 right-3 right-4 sortable"
|-
! Degree
! Size in 29edo
! Size in 37edo
! Note name on Q
! class="unsortable"| Approximate ratios
! #Gens up
|-
| 1
| 0\29, 0.00
| 0\37, 0.00
| Q
| 1/1
| 0
|-
| 2
| 4\29, 165.52
| 5\37, 163.16
| J
| 11/10
| +3
|-
| 3
| 8\29, 331.03
| 10\37, 324.32
| K
|
| +6
|-
| 4
| 11\29, 455.17
| 14\37, 454.05
| L
| 13/10
| +1
|-
| 5
| 15\29, 620.69
| 19\37, 616.22
| M
| 10/7
| +4
|-
| 6
| 19\29, 786.21
| 23\37, 778.38
| N
| 11/7
| +7
|-
| 7
| 22\29, 910.34
| 28\37, 908.11
| O
| 22/13
| +2
|-
| 8
| 26\29, 1075.86
| 33\37, 1070.27
| P
| 13/7
| +5
|}
=== Buzzard ===
=== Buzzard ===
Buzzard is an oneirotonic rank-2 temperament in the ultrahard-to-[[Step ratio|pseudopaucitonic]] range. It represents the only [[harmonic entropy]] minimum of the oneirotonic spectrum.
Buzzard is an oneirotonic rank-2 temperament in the [[Step ratio|pseudopaucitonic]] range. It represents the only [[harmonic entropy]] minimum of the oneirotonic spectrum.


In the broad sense, [[Buzzard]] can be viewed as any tuning that divides the 3rd harmonic into 4 equal parts. [[23edo]], [[28edo]] and [[33edo]] can nominally be viewed as supporting it, but are still very flat and in an ambiguous zone between 18edo and true Buzzard in terms of harmonies. [[38edo]] & [[43edo]] are good compromises between melodic utility and harmonic accuracy, as the small step is still large enough to be obvious to the untrained ear, but [[48edo]] is where it really comes into it's own in terms of harmonies, providing not only an excellent [[3/2]], but also [[7/4]] and [[The_Archipelago|archipelago]] harmonies, as by dividing the 5th in 4 it obviously also divides it in two as well.  
In the broad sense, [[Buzzard]] can be viewed as any tuning that divides the 3rd harmonic into 4 equal parts. [[23edo]], [[28edo]] and [[33edo]] can nominally be viewed as supporting it, but are still very flat and in an ambiguous zone between 18edo and true Buzzard in terms of harmonies. [[38edo]] & [[43edo]] are good compromises between melodic utility and harmonic accuracy, as the small step is still large enough to be obvious to the untrained ear, but [[48edo]] is where it really comes into it's own in terms of harmonies, providing not only an excellent [[3/2]], but also [[7/4]] and [[The_Archipelago|archipelago]] harmonies, as by dividing the 5th in 4 it obviously also divides it in two as well.  
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| 21.55
| 21.55
| 55/54 81/80 91/90
| 55/54 81/80 91/90
|}
==== Intervals ====
Sortable table of intervals in the Dylathian mode and their Buzzard interpretations:
{| class="wikitable right-2 right-3 right-4 right-5 sortable"
|-
! Degree
! Size in 38edo
! Size in 53edo
! Size in 63edo
! Size in POTE tuning
! Note name on Q
! class="unsortable"| Approximate ratios
! #Gens up
|-
| 1
| 0\38, 0.00
| 0\53, 0.00
| 0\63, 0.00
| 0.00
| Q
| 1/1
| 0
|-
| 2
| 7\38, 221.05
| 10\53, 226.42
| 12\63, 228.57
| 227.07
| J
| 8/7
| +3
|-
| 3
| 14\38, 442.10
| 20\53, 452.83
| 24\63, 457.14
| 453.81
| K
| 13/10, 9/7
| +6
|-
| 4
| 15\38, 473.68
| 21\53, 475.47
| 25\63, 476.19
| 475.63
| L
| 21/16
| +1
|-
| 5
| 22\38, 694.73
| 31\53, 701.89
| 37\63, 704.76
| 702.54
| M
| 3/2
| +4
|-
| 6
| 29\38, 915.78
| 41\53, 928.30
| 49\63, 933.33
| 929.45
| N
| 12/7, 22/13
| +7
|-
| 7
| 30\38, 947.36
| 42\53, 950.94
| 50\63, 952.38
| 951.27
| O
| 26/15
| +2
|-
| 8
| 37\38, 1168.42
| 52\53, 1177.36
| 62\63, 1180.95
| 1178.18
| P
| 108/55, 160/81
| +5
|}
|}


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