Xenharmonic Wiki

10edo: Difference between revisions

← Older editNewer edit →

Xenwolf (talk | contribs)

5 user groups
8,705 edits
VisualWikitext
Xenwolf (talk | contribs)
autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
8,705 edits
toc is automatically shown for articles with more than 3 headings
Xenwolf (talk | contribs)
autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
8,705 edits
→Intervals: replaced inline styling for text-alignment in table cells
Line 12: Line 12:
== Intervals ==
== Intervals ==


{| class="wikitable"
{| class="wikitable right-1 right-2 center-7 center-8"
! Degree
! Degree
! Cents
! Cents
! Approximate Ratios <ref>based on treating 10-EDO as a 2.7.13.15 subgroup temperament</ref>
! Approximate Ratios<ref>based on treating 10-EDO as a 2.7.13.15 subgroup temperament</ref>
! Additional Ratios <br> of 3, 5 and 9<ref>adding the ratios of 3, 5 and 9 introduces greater [[error]] while giving several more harmonic identities to the 10-EDO intervals</ref>
! Additional Ratios <br> of 3, 5 and 9<ref>adding the ratios of 3, 5 and 9 introduces greater [[error]] while giving several more harmonic identities to the 10-EDO intervals</ref>
! Interval Names
! Interval Names
Line 21: Line 21:
|-
|-
| 0
| 0
| style="text-align:right;" | 0
| 0
| style="text-align:center;" | 1/1
| 1/1
| 256/243, 50/49, 25/24
| 256/243, 50/49, 25/24
| unison
| unison
| unison, min 2nd
| unison, min 2nd
| style="text-align:center;" | P1, m2
| P1, m2
| style="text-align:center;" | D, Eb
| D, Eb
|-
|-
| 1
| 1
| style="text-align:right;" | 120
| 120
| style="text-align:center;" | 16/15, 15/14, 13/14
| 16/15, 15/14, 13/14
| 10/9, 13/12, 81/80
| 10/9, 13/12, 81/80
| small neutral second, large minor second
| small neutral second, large minor second
| mid 2nd
| mid 2nd
| style="text-align:center;" | ~2
| ~2
| style="text-align:center;" | ^D, vE
| ^D, vE
|-
|-
| 2
| 2
| style="text-align:right;" | 240
| 240
| style="text-align:center;" | 8/7, 15/13, 144/125
| 8/7, 15/13, 144/125
| 9/8, 7/6
| 9/8, 7/6
| second/third
| second/third
| maj 2nd, min 3rd
| maj 2nd, min 3rd
| style="text-align:center;" | M2, m3
| M2, m3
| style="text-align:center;" | E, F
| E, F
|-
|-
| 3
| 3
| style="text-align:right;" | 360
| 360
| style="text-align:center;" | 16/13
| 16/13
| 5/4
| 5/4
| large neutral third
| large neutral third
| mid 3rd
| mid 3rd
| style="text-align:center;" | ~3
| ~3
| style="text-align:center;" | ^F, vG
| ^F, vG
|-
|-
| 4
| 4
| style="text-align:right;" | 480
| 480
| style="text-align:center;" | 64/49, 169/128
| 64/49, 169/128
| 4/3, 9/7, 13/10
| 4/3, 9/7, 13/10
| smaller fourth
| smaller fourth
| maj 3rd, perf 4th
| maj 3rd, perf 4th
| style="text-align:center;" | M3, P4
| M3, P4
| style="text-align:center;" | F#, G
| F#, G
|-
|-
| 5
| 5
| style="text-align:right;" | 600
| 600
| style="text-align:center;" | 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
| tritone
| up 4th, down 5th
| up 4th, down 5th
| style="text-align:center;" | ^4,v5
| ^4,v5
| style="text-align:center;" | ^G, vA
| ^G, vA
|-
|-
| 6
| 6
| style="text-align:right;" | 720
| 720
| style="text-align:center;" | 49/32, 256/169
| 49/32, 256/169
| 3/2, 14/9, 20/13
| 3/2, 14/9, 20/13
| bigger fifth
| bigger fifth
| perf 5th, min 6th
| perf 5th, min 6th
| style="text-align:center;" | P5, m6
| P5, m6
| style="text-align:center;" | A, Bb
| A, Bb
|-
|-
| 7
| 7
| style="text-align:right;" | 840
| 840
| style="text-align:center;" | 13/8
| 13/8
| 8/5
| 8/5
| neutral sixth
| neutral sixth
| mid 6th
| mid 6th
| style="text-align:center;" | ~6
| ~6
| style="text-align:center;" | ^A, vB
| ^A, vB
|-
|-
| 8
| 8
| style="text-align:right;" | 960
| 960
| style="text-align:center;" | 7/4, 26/15, 125/72
| 7/4, 26/15, 125/72
| 16/9, 12/7
| 16/9, 12/7
| sixth/seventh
| sixth/seventh
| maj 6th, min 7th
| maj 6th, min 7th
| style="text-align:center;" | M6, m7
| M6, m7
| style="text-align:center;" | B, C
| B, C
|-
|-
| 9
| 9
| style="text-align:right;" | 1080
| 1080
| style="text-align:center;" | 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
| small major 7th
| mid 7th
| mid 7th
| style="text-align:center;" | ~7
| ~7
| style="text-align:center;" | ^C, vD
| ^C, vD
|-
|-
| 10
| 10
| style="text-align:right;" | 1200
| 1200
| style="text-align:center;" | 2/1
| 2/1
| 243/128, 49/25, 48/25
| 243/128, 49/25, 48/25
| octave
| octave
| maj 7th, octave
| maj 7th, octave
| style="text-align:center;" | M7, P8
| M7, P8
| style="text-align:center;" | C#, D
| C#, D
|}
|}


Retrieved from "https://en.xen.wiki/w/10edo"