Octave (interval region): Difference between revisions

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== In tempered scales ==
== In tempered scales ==
As the just octave of 2/1 is the interval being equally divided in [[EDO]]s, it is represented perfectly in all of them. The following table lists other octave-sized intervals (> 1140 cents) that exist in various significant EDOs.
As the just octave of 2/1 is the interval being equally divided in [[EDO]]s, it is represented perfectly in all of them. The following table lists other octave-sized intervals (> 1140 cents) that exist in various significant EDOs.
{| class="wikitable"
{| class="wikitable"
|+
!EDO
!Suboctaves
|-
|-
|22
! EDO
|1145 c
! Suboctaves
|-
|-
|24
| 22
|1150 c
| 1145{{c}}
|-
|-
|25
| 24
|1152 c
| 1150{{c}}
|-
|-
|26
| 25
|1154 c
| 1152{{c}}
|-
|-
|27
| 26
|1156 c
| 1154{{c}}
|-
|-
|29
| 27
|1159 c
| 1156{{c}}
|-
|-
|31
| 29
|1161 c
| 1159{{c}}
|-
|-
|34
| 31
|1165 c
| 1161{{c}}
|-
|-
|41
| 34
|1142 c, 1171 c
| 1165{{c}}
|-
|-
|53
| 41
|1155 c, 1177 c
| 1142{{c}}, 1171{{c}}
|-
| 53
| 1155{{c}}, 1177{{c}}
|}
|}
2/1 is also represented perfectly in most temperaments, or the most common tunings thereof, and is mainly involved in octave-reducing intervals (such as saying that, in meantone, four 3/2s (octave-reduced) stack to 5/4).
2/1 is also represented perfectly in most temperaments, or the most common tunings thereof, and is mainly involved in octave-reducing intervals (such as saying that, in meantone, four 3/2s (octave-reduced) stack to 5/4).