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switching to clearer 0-based "mosstep" names
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The notation used in this article is J Ultharian (LsLLsLsL) = JKLMNOPQJ, unless specified otherwise. We denote raising and lowering by a chroma (L − s) by & "amp" and @ "at". (Mnemonics: & "and" means additional pitch. @ "at" rhymes with "flat".)
The notation used in this article is J Ultharian (LsLLsLsL) = JKLMNOPQJ, unless specified otherwise. We denote raising and lowering by a chroma (L − s) by & "amp" and @ "at". (Mnemonics: & "and" means additional pitch. @ "at" rhymes with "flat".)


The chain of perfect mosfourths becomes: ... P@ K@ N@ Q L O J M P K N Q& L& O& ...
The chain of perfect 3-mossteps becomes: ... P@ K@ N@ Q L O J M P K N Q& L& O& ...


Thus the [[13edo]] gamut is as follows:  
Thus the [[13edo]] gamut is as follows:  
Line 43: Line 43:


== Intervals ==
== Intervals ==
The table of oneirotonic intervals below takes the flat fourth as the generator. Given the size of the subfourth generator ''g'', any oneirotonic interval can easily be found by noting what multiple of ''g'' it is, and multiplying the size by the number ''k'' of generators it takes to reach the interval and reducing mod 1200 if necessary (so you can use "''k''*''g'' % 1200" for search engines, for plugged-in values of ''k'' and ''g''). For example, since the major mosthird is reached by six subfourth generators, [[18edo]]'s major mosthird is 6*466.67 mod 1200 = 2800 mod 1200 = 400¢, same as the [[12edo]] major third.
The table of oneirotonic intervals below takes the flat fourth as the generator. Given the size of the subfourth generator ''g'', any oneirotonic interval can easily be found by noting what multiple of ''g'' it is, and multiplying the size by the number ''k'' of generators it takes to reach the interval and reducing mod 1200 if necessary (so you can use "''k''*''g'' % 1200" for search engines, for plugged-in values of ''k'' and ''g''). For example, since the major 2-stepis reached by six subfourth generators, [[18edo]]'s major 2-step is 6*466.67 mod 1200 = 2800 mod 1200 = 400¢, same as the [[12edo]] major third.
{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
Line 68: Line 68:
| 1
| 1
| M
| M
| perfect mosfourth
| perfect 3-step
| 2L + 1s
| 2L + 1s
| -1
| -1
| O
| O
| perfect mossixth
| perfect 5-step
| 3L + 2s
| 3L + 2s
|-
|-
| 2
| 2
| P
| P
| major mosseventh
| major 6-step
| 4L + 2s
| 4L + 2s
| -2
| -2
| L
| L
| minor mosthird
| minor 2-step
| 1L + 1s
| 1L + 1s
|-
|-
| 3
| 3
| K
| K
| major mossecond
| major 1-step
| 1L + 0s
| 1L + 0s
| -3
| -3
| Q
| Q
| minor moseighth
| minor 7-step
| 4L + 3s
| 4L + 3s
|-
|-
| 4
| 4
| N
| N
| major mosfifth
| major 4-step
| 3L + 1s
| 3L + 1s
| -4
| -4
| N@
| N@
| minor mosfifth
| minor 4-step
| 2L + 2s
| 2L + 2s
|-
|-
| 5
| 5
| Q&
| Q&
| major moseighth
| major 7-step
| 5L + 2s
| 5L + 2s
| -5
| -5
| K@
| K@
| minor mossecond
| minor 1-step
| 0L + 1s
| 0L + 1s
|-
|-
| 6
| 6
| L&
| L&
| major mosthird
| major 2-step
| 2L + 0s
| 2L + 0s
| -6
| -6
| P@
| P@
| minor mosseventh
| minor 6-step
| 3L + 3s
| 3L + 3s
|-
|-
| 7
| 7
| O&
| O&
| augmented mossixth
| augmented 5-step
| 4L + 1s
| 4L + 1s
| -7
| -7
| M@
| M@
| diminished mosfourth
| diminished 3-step
| 1L + 2s
| 1L + 2s
|-
|-
Line 133: Line 133:
| 8
| 8
| J&
| J&
| augmented mosunison (aka moschroma)
| augmented 0-step (aka moschroma)
| 1L - 1s
| 1L - 1s
| -8
| -8
| J@
| J@
| diminished mosoctave (aka diminished mosninth)
| diminished 8-step (aka diminished mosninth)
| 4L + 4s
| 4L + 4s
|-
|-
| 9
| 9
| M&
| M&
| augmented mosfourth
| augmented 3-step
| 3L + 0s
| 3L + 0s
| -9
| -9
| O@
| O@
| diminished mossixth
| diminished 5-step
| 2L + 3s
| 2L + 3s
|-
|-
| 10
| 10
| P&
| P&
| augmented mosseventh
| augmented 6-step
| 5L + 1s
| 5L + 1s
| -10
| -10
| L@
| L@
| diminished mosthird
| diminished 2-step
| 0L + 2s
| 0L + 2s
|-
|-
| 11
| 11
| K&
| K&
| augmented mossecond
| augmented 1-step
| 2L - 1s
| 2L - 1s
| -11
| -11
| Q@
| Q@
| diminished moseighth
| diminished 7-step
| 3L + 4s
| 3L + 4s
|-
|-
| 12
| 12
| N&
| N&
| augmented mosfifth
| augmented 4-step
| 4L + 0s
| 4L + 0s
| -12
| -12
| N@@
| N@@
| diminished mosfifth
| diminished 4-step
| 1L + 3s
| 1L + 3s
|}
|}
Line 183: Line 183:
Hypohard oneirotonic can be considered "meantone oneirotonic". This is because these tunings share the following features with [[meantone]] diatonic tunings:  
Hypohard oneirotonic can be considered "meantone oneirotonic". This is because these tunings share the following features with [[meantone]] diatonic tunings:  
* The large step is a "meantone", somewhere between near-10/9 (as in [[13edo]]) and near-9/8 (as in [[18edo]]).
* The large step is a "meantone", somewhere between near-10/9 (as in [[13edo]]) and near-9/8 (as in [[18edo]]).
* The major mosthird (made of two large steps) is a [[meantone]]- to [[flattone]]-sized major third, thus is a stand-in for the classical diatonic major third.
* The major 2-mosstep (made of two large steps) is a [[meantone]]- to [[flattone]]-sized major third, thus is a stand-in for the classical diatonic major third.


Also, in [[18edo]] and [[31edo]], the minor mosthird is close to [[7/6]].
Also, in [[18edo]] and [[31edo]], the minor 2-mosstep is close to [[7/6]].


The set of identifications above is associated with [[5L 3s/Temperaments#A-Team|A-Team]] temperament.
The set of identifications above is associated with [[5L 3s/Temperaments#A-Team|A-Team]] temperament.


EDOs that are in the hypohard range include [[13edo]], [[18edo]], and [[31edo]].
EDOs that are in the hypohard range include [[13edo]], [[18edo]], and [[31edo]].
* 13edo has characteristically small major mosseconds of about 185c. It is uniformly compressed 12edo, so it has distorted versions of non-diatonic 12edo scales. It essentially has the best [[11/8]] out of all hypohard tunings.
* 13edo has characteristically small 1-mossteps of about 185c. It is uniformly compressed 12edo, so it has distorted versions of non-diatonic 12edo scales. It essentially has the best [[11/8]] out of all hypohard tunings.
* 18edo can be used for a large step ratio of 3, (thus 18edo oneirotonic is distorted 17edo diatonic, or for its nearly pure 9/8 and 7/6. It also makes rising fifths (733.3c, a perfect mossixth) and falling fifths (666.7c, a major mosfifth) almost equally off from a just perfect fifth. 18edo is also more suited for conventionally jazz styles due to its 6-fold symmetry.
* 18edo can be used for a large step ratio of 3, (thus 18edo oneirotonic is distorted 17edo diatonic, or for its nearly pure 9/8 and 7/6. It also makes rising fifths (733.3c, a perfect 5-mosstep) and falling fifths (666.7c, a major 4-mosstep) almost equally off from a just perfect fifth. 18edo is also more suited for conventionally jazz styles due to its 6-fold symmetry.
* 31edo  can be used to make the major mos3rd a near-just 5/4.
* 31edo  can be used to make the major 2-mosstep a near-just 5/4.
* [[44edo]] (generator 17\44 = 463.64¢), [[57edo]] (generator 22\57 = 463.16¢), and [[70edo]] (generator 27\70 = 462.857¢) offer a compromise between 31edo's major third and 13edo's 11/8 and 13/8. In particular, 70edo has an essentially pure 13/8.
* [[44edo]] (generator 17\44 = 463.64¢), [[57edo]] (generator 22\57 = 463.16¢), and [[70edo]] (generator 27\70 = 462.857¢) offer a compromise between 31edo's major third and 13edo's 11/8 and 13/8. In particular, 70edo has an essentially pure 13/8.


Line 240: Line 240:
| 0
| 0
|-
|-
| minor mos2nd
| minor 1-step
| 1\13, 92.31
| 1\13, 92.31
| 1\18, 66.67
| 1\18, 66.67
Line 248: Line 248:
| -5
| -5
|-
|-
| major mos2nd
| major 1-step
| 2\13, 184.62
| 2\13, 184.62
| 3\18, 200.00
| 3\18, 200.00
Line 256: Line 256:
| +3
| +3
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| minor mos3rd
| minor 2-step
| 3\13, 276.92
| 3\13, 276.92
| 4\18, 266.67
| 4\18, 266.67
Line 264: Line 264:
| -2
| -2
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| major mos3rd
| major 2-step
| 4\13, 369.23
| 4\13, 369.23
| 6\18, 400.00
| 6\18, 400.00
Line 272: Line 272:
| +6
| +6
|-
|-
| dim. mos4th
| dim. 3-step
| 4\13, 369.23
| 4\13, 369.23
| 5\18, 333.33
| 5\18, 333.33
Line 280: Line 280:
| -7
| -7
|-
|-
| perf. mos4th
| perf. 3-step
| 5\13, 461.54  
| 5\13, 461.54  
| 7\18, 466.67
| 7\18, 466.67
Line 288: Line 288:
| +1
| +1
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| minor mos5th
| minor 4-step
| 6\13, 553.85
| 6\13, 553.85
| 8\18, 533.33
| 8\18, 533.33
Line 296: Line 296:
| -4
| -4
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| major mos5th
| major 4-step
| 7\13, 646.15
| 7\13, 646.15
| 10\18, 666.66
| 10\18, 666.66
Line 304: Line 304:
| +4
| +4
|-
|-
| perf. mos6th
| perf. 5-step
| 8\13, 738.46
| 8\13, 738.46
| 11\18, 733.33
| 11\18, 733.33
Line 312: Line 312:
| -1
| -1
|-
|-
| aug. mos6th
| aug. 5-step
| 9\13, 830.77
| 9\13, 830.77
| 13\18, 866.66
| 13\18, 866.66
Line 320: Line 320:
| +7
| +7
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| minor mos7th
| minor 6-step
| 9\13, 830.77
| 9\13, 830.77
| 12\18, 800.00
| 12\18, 800.00
Line 328: Line 328:
| -6
| -6
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| major mos7th
| major 6-step
| 10\13, 923.08
| 10\13, 923.08
| 14\18, 933.33
| 14\18, 933.33
Line 336: Line 336:
| +2
| +2
|-
|-
| minor mos8th
| minor 7-step
| 11\13, 1015.39
| 11\13, 1015.39
| 15\18, 1000.00
| 15\18, 1000.00
Line 344: Line 344:
| -3
| -3
|-
|-
| major mos8th
| major 7-step
| 12\13, 1107.69
| 12\13, 1107.69
| 17\18, 1133.33
| 17\18, 1133.33
Line 357: Line 357:
[[Hyposoft]] oneirotonic tunings (with generator between 8\21 and 5\13) have step ratios between 3/2 and 2/1. The 8\21-to-5\13 range of oneirotonic tunings remains relatively unexplored. In these tunings,  
[[Hyposoft]] oneirotonic tunings (with generator between 8\21 and 5\13) have step ratios between 3/2 and 2/1. The 8\21-to-5\13 range of oneirotonic tunings remains relatively unexplored. In these tunings,  
* the large step of oneirotonic tends to be intermediate in size between [[10/9]] and [[11/10]]; the small step size is a semitone close to [[17/16]], about 92¢ to 114¢.
* the large step of oneirotonic tends to be intermediate in size between [[10/9]] and [[11/10]]; the small step size is a semitone close to [[17/16]], about 92¢ to 114¢.
* The major mosthird (made of two large steps) in these tunings tends to be more of a neutral third, ranging from 6\21 (342¢) to 4\13 (369¢).
* The major 2-mosstep (made of two large steps) in these tunings tends to be more of a neutral third, ranging from 6\21 (342¢) to 4\13 (369¢).


* [[21edo]]'s P1-Lmos2-Lmos3-Lmos5 approximates 9:10:11:13 better than the corresponding 13edo chord does. 21edo will serve those who like the combination of neogothic minor thirds (285.71¢) and Baroque diatonic semitones (114.29¢, close to quarter-comma meantone's 117.11¢).
* [[21edo]]'s P1-Lmos2-Lmos3-Lmos5 approximates 9:10:11:13 better than the corresponding 13edo chord does. 21edo will serve those who like the combination of neogothic minor thirds (285.71¢) and Baroque diatonic semitones (114.29¢, close to quarter-comma meantone's 117.11¢).
Line 403: Line 403:
| 0
| 0
|-
|-
| minor mos2nd
| minor 1-step
| 2\21, 114.29
| 2\21, 114.29
| 3\34, 105.88
| 3\34, 105.88
Line 410: Line 410:
| -5
| -5
|-
|-
| major mos2nd
| major 1-step
| 3\21, 171.43
| 3\21, 171.43
| 5\34, 176.47
| 5\34, 176.47
Line 417: Line 417:
| +3
| +3
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| minor mos3rd
| minor 2-step
| 5\21, 285.71
| 5\21, 285.71
| 8\34, 282.35
| 8\34, 282.35
Line 424: Line 424:
| -2
| -2
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| major mos3rd
| major 2-step
| 6\21, 342.86
| 6\21, 342.86
| 10\34, 352.94
| 10\34, 352.94
Line 431: Line 431:
| +6
| +6
|-
|-
| dim. mos4th
| dim. 3-step
| 7\21, 400.00
| 7\21, 400.00
| 11\34, 388.24
| 11\34, 388.24
Line 438: Line 438:
| -7
| -7
|-
|-
| perf. mos4th
| perf. 3-step
| 7\18, 457.14
| 7\18, 457.14
| 12\31, 458.82
| 12\31, 458.82
Line 445: Line 445:
| +1
| +1
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| minor mos5th
| minor 4-step
| 10\21, 571.43
| 10\21, 571.43
| 16\34, 564.72
| 16\34, 564.72
Line 452: Line 452:
| -4
| -4
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| major mos5th
| major 4-step
| 11\21, 628.57
| 11\21, 628.57
| 18\34, 635.29
| 18\34, 635.29
Line 459: Line 459:
| +4
| +4
|-
|-
| perf. mos6th
| perf. 5-step
| 13\21, 742.86
| 13\21, 742.86
| 21\34, 741.18
| 21\34, 741.18
Line 466: Line 466:
| -1
| -1
|-
|-
| aug. mos6th
| aug. 5-step
| 14\21, 800.00
| 14\21, 800.00
| 23\34, 811.77
| 23\34, 811.77
Line 473: Line 473:
| +7
| +7
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| minor mos7th
| minor 6-step
| 15\21, 857.14
| 15\21, 857.14
| 24\34, 847.06
| 24\34, 847.06
Line 480: Line 480:
| -6
| -6
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| major mos7th
| major 6-step
| 16\21, 914.29
| 16\21, 914.29
| 26\34, 917.65
| 26\34, 917.65
Line 487: Line 487:
| +2
| +2
|-
|-
| minor mos8th
| minor 7-step
| 18\21, 1028.57
| 18\21, 1028.57
| 29\34, 1023.53
| 29\34, 1023.53
Line 494: Line 494:
| -3
| -3
|-
|-
| major mos8th
| major 7-step
| 19\21, 1085.71
| 19\21, 1085.71
| 31\34, 1094.12
| 31\34, 1094.12
Line 546: Line 546:
| +8
| +8
|-
|-
| dim. mos2nd
| dim. 1-step
| 2\29, 82.8
| 2\29, 82.8
| K@@
| K@@
Line 552: Line 552:
| -13
| -13
|-
|-
| minor mos2nd
| minor 1-step
| 3\29, 124.1
| 3\29, 124.1
| K@
| K@
Line 558: Line 558:
| -5
| -5
|-
|-
| major mos2nd
| major 1-step
| 4\29, 165.5
| 4\29, 165.5
| K
| K
Line 564: Line 564:
| +3
| +3
|-
|-
| aug. mos2nd
| aug. 1-step
| 5\29, 206.9
| 5\29, 206.9
| K&
| K&
Line 570: Line 570:
| +11
| +11
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| dim. mos3rd
| dim. 2-step
| 6\29, 248.3
| 6\29, 248.3
| L@
| L@
Line 576: Line 576:
| -10
| -10
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| minor mos3rd
| minor 2-step
| 7\29, 289.7
| 7\29, 289.7
| L
| L
Line 582: Line 582:
| -2
| -2
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| major mos3rd
| major 2-step
| 8\29, 331.0
| 8\29, 331.0
| L&
| L&
Line 588: Line 588:
| +6
| +6
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| aug. mos3rd
| aug. 2-step
| 9\29, 372.4
| 9\29, 372.4
| L&&
| L&&
Line 594: Line 594:
| +14
| +14
|-
|-
| doubly dim. mos4th
| doubly dim. 3-step
| 9\29, 372.4
| 9\29, 372.4
| M@@
| M@@
Line 600: Line 600:
| -15
| -15
|-
|-
| dim. mos4th
| dim. 3-step
| 10\29, 413.8
| 10\29, 413.8
| M@
| M@
Line 606: Line 606:
| -7
| -7
|-
|-
| perf. mos4th
| perf. 3-step
| 11\29, 455.2
| 11\29, 455.2
| M
| M
Line 612: Line 612:
| +1
| +1
|-
|-
| aug. mos4th
| aug. 3-step
| 12\29, 496.6
| 12\29, 496.6
| M&
| M&
Line 618: Line 618:
| +9
| +9
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| dim. mos5th
| dim. 4-step
| 13\29, 537.9
| 13\29, 537.9
| N@@
| N@@
Line 624: Line 624:
| -12
| -12
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| minor mos5th
| minor 4-step
| 14\29, 579.3
| 14\29, 579.3
| N@
| N@
Line 630: Line 630:
| -4
| -4
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| major mos5th
| major 4-step
| 15\29 620.7
| 15\29 620.7
| N
| N
Line 636: Line 636:
| +4
| +4
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| aug. mos5th
| aug. 4-step
| 16\29 662.1
| 16\29 662.1
| N&
| N&
Line 642: Line 642:
| +12
| +12
|-
|-
| dim. mos6th
| dim. 5-step
| 17\29, 703.4
| 17\29, 703.4
| O@
| O@
Line 648: Line 648:
| -9
| -9
|-
|-
| perf. mos6th
| perf. 5-step
| 18\29, 755.2
| 18\29, 755.2
| O
| O
Line 654: Line 654:
| -1
| -1
|-
|-
| aug. mos6th
| aug. 5-step
| 19\29, 786.2
| 19\29, 786.2
| O&
| O&
Line 660: Line 660:
| +7
| +7
|-
|-
| doubly aug. mos6th
| doubly aug. 5-step
| 20\29 827.6
| 20\29 827.6
| O&&
| O&&
Line 666: Line 666:
| +15
| +15
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| dim. mos7th
| dim. 6-step
| 20\29 827.6
| 20\29 827.6
| P@@
| P@@
Line 672: Line 672:
| -14
| -14
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| minor mos7th
| minor 6-step
| 21\29 869.0
| 21\29 869.0
| P@
| P@
Line 678: Line 678:
| -6
| -6
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| major mos7th
| major 6-step
| 22\29, 910.3
| 22\29, 910.3
| P
| P
Line 684: Line 684:
| +2
| +2
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| aug. mos7th
| aug. 6-step
| 23\29, 951.7
| 23\29, 951.7
| P&
| P&
Line 690: Line 690:
| +10
| +10
|-
|-
| dim. mos8th
| dim. 7-step
| 24\29, 993.1
| 24\29, 993.1
| Q@
| Q@
Line 696: Line 696:
| -11
| -11
|-
|-
| minor mos8th
| minor 7-step
| 25\29, 1034.5
| 25\29, 1034.5
| Q
| Q
Line 702: Line 702:
| -3
| -3
|-
|-
| major mos8th
| major 7-step
| 26\29, 1075.9
| 26\29, 1075.9
| Q&
| Q&
Line 708: Line 708:
| +5
| +5
|-
|-
| aug. mos8th
| aug. 7-step
| 27\29, 1117.2
| 27\29, 1117.2
| Q&&
| Q&&
Line 745: Line 745:
| +8
| +8
|-
|-
| minor mos2nd
| minor 1-step
| 1\23, 52.2
| 1\23, 52.2
| K@
| K@
Line 751: Line 751:
| -5
| -5
|-
|-
| major mos2nd
| major 1-step
| 4\23, 208.7
| 4\23, 208.7
| K
| K
Line 757: Line 757:
| +3
| +3
|-
|-
| aug. mos2nd
| aug. 1-step
| 7\23, 365.2
| 7\23, 365.2
| K&
| K&
Line 763: Line 763:
| +11
| +11
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| dim. mos3rd
| dim. 2-step
| 2\23, 104.3
| 2\23, 104.3
| L@
| L@
Line 769: Line 769:
| -10
| -10
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| minor mos3rd
| minor 2-step
| 5\23, 260.9
| 5\23, 260.9
| L
| L
Line 775: Line 775:
| -2
| -2
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| major mos3rd
| major 2-step
| 8\23, 417.4
| 8\23, 417.4
| L&
| L&
Line 781: Line 781:
| +6
| +6
|-
|-
| dim. mos4th
| dim. 3-step
| 6\23, 313.0
| 6\23, 313.0
| M@
| M@
Line 787: Line 787:
| -7
| -7
|-
|-
| perf. mos4th
| perf. 3-step
| 9\23, 469.6
| 9\23, 469.6
| M
| M
Line 793: Line 793:
| +1
| +1
|-
|-
| aug. mos4th
| aug. 3-step
| 12\23, 626.1
| 12\23, 626.1
| M&
| M&
Line 799: Line 799:
| +9
| +9
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| dim. mos5th
| dim. 4-step
| 7\23, 365.2
| 7\23, 365.2
| N@@
| N@@
Line 805: Line 805:
| -12
| -12
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| minor mos5th
| minor 4-step
| 10\23, 521.7
| 10\23, 521.7
| N@
| N@
Line 811: Line 811:
| -4
| -4
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| major mos5th
| major 4-step
| 13\23, 678.3
| 13\23, 678.3
| N
| N
Line 817: Line 817:
| +4
| +4
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| aug. mos5th
| aug. 4-step
| 16\23, 834.8
| 16\23, 834.8
| N&
| N&
Line 823: Line 823:
| +12
| +12
|-
|-
| dim. mos6th
| dim. 5-step
| 11\23, 573.9
| 11\23, 573.9
| O@
| O@
Line 829: Line 829:
| -9
| -9
|-
|-
| perf. mos6th
| perf. 5-step
| 14\23, 730.4
| 14\23, 730.4
| O
| O
Line 835: Line 835:
| -1
| -1
|-
|-
| aug. mos6th
| aug. 5-step
| 17\23, 887.0
| 17\23, 887.0
| O&
| O&
Line 842: Line 842:
|-
|-
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| minor mos7th
| minor 6-step
| 15\23 782.6
| 15\23 782.6
| P@
| P@
Line 848: Line 848:
| -6
| -6
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| major mos7th
| major 6-step
| 18\23, 939.1
| 18\23, 939.1
| P
| P
Line 854: Line 854:
| +2
| +2
|-bgcolor="#eaeaff"
|-bgcolor="#eaeaff"
| aug. mos7th
| aug. 6-step
| 21\23, 1095.7
| 21\23, 1095.7
| P&
| P&
Line 860: Line 860:
| +10
| +10
|-
|-
| dim. mos8th
| dim. 7-step
| 16\23, 834.8
| 16\23, 834.8
| Q@
| Q@
Line 866: Line 866:
| -11
| -11
|-
|-
| minor mos8th
| minor 7-step
| 19\23, 991.3
| 19\23, 991.3
| Q
| Q
Line 872: Line 872:
| -3
| -3
|-
|-
| major mos8th
| major 7-step
| 22\23, 1147.8
| 22\23, 1147.8
| Q&
| Q&