10edo: Difference between revisions

→Intervals: remove the attempt to "correct" degrees since it lacks context
→Intervals: improve interval names to better comply to diatonic scheme
Line 80: Line 80:
| 16/15, 15/14, 14/13
| 16/15, 15/14, 14/13
| 10/9, 13/12, 81/80
| 10/9, 13/12, 81/80
| small neutral second, large minor second
| neutral second
| mid 2nd
| mid 2nd
| ~2
| ~2
Line 89: Line 89:
| 8/7, 15/13, 144/125
| 8/7, 15/13, 144/125
| 9/8, 7/6
| 9/8, 7/6
| second/third
| hemifourth, major second, minor third
| maj 2nd, min 3rd
| maj 2nd, min 3rd
| M2, m3
| M2, m3
Line 98: Line 98:
| [[16/13]]
| [[16/13]]
| 5/4
| 5/4
| large neutral third
| neutral third
| mid 3rd
| mid 3rd
| ~3
| ~3
~2
| ^F, vG
| ^F, vG
|-
|-
Line 108: Line 107:
| 64/49, 169/128
| 64/49, 169/128
| 4/3, 9/7, 13/10
| 4/3, 9/7, 13/10
| smaller fourth
| perfect fourth
| maj 3rd, perf 4th
| maj 3rd, perf 4th
| M3, P4
| M3, P4
Line 117: Line 116:
| 91/64, 128/91, 169/120, 240/169
| 91/64, 128/91, 169/120, 240/169
| 7/5, 10/7, 13/9, 18/13
| 7/5, 10/7, 13/9, 18/13
| tritone
| hemioctave
| up 4th, down 5th
| up 4th, down 5th
| ^4, v5
| ^4, v5
Line 126: Line 125:
| 49/32, 256/169
| 49/32, 256/169
| 3/2, 14/9, 20/13
| 3/2, 14/9, 20/13
| bigger fifth
| perfect fifth
| perf 5th, min 6th
| perf 5th, min 6th
| P5, m6
| P5, m6
Line 144: Line 143:
| 7/4, 26/15, 125/72
| 7/4, 26/15, 125/72
| 16/9, 12/7
| 16/9, 12/7
| sixth/seventh
| hemitwelfth, major sixth, minor seventh
| maj 6th, min 7th
| maj 6th, min 7th
| M6, m7
| M6, m7
Line 153: Line 152:
| 15/8, 28/15, 13/7
| 15/8, 28/15, 13/7
| 9/5, 24/13, 160/81
| 9/5, 24/13, 160/81
| small major 7th
| neutral seventh
| mid 7th
| mid 7th
| ~7
| ~7
Line 170: Line 169:
<references />
<references />


This is a heptatonic notation generated by 5ths (5th meaning 3/2). Alternative notations include pentatonic fifth-generated and heptatonic 3rd-generated.
This is the diatonic notation, generated by 5ths (6\10, representing 3/2). Alternative notations include pentatonic fifth-generated and heptatonic 3rd-generated.


'''<u>Pentatonic 5th-generated</u>: D * E * G * A * C * D''' (generator = 3/2 = 6\10 = perfect 5thoid)
'''<u>Pentatonic 5th-generated</u>: D * E * G * A * C * D''' (generator = 3/2 = 6\10 = perfect 5thoid)