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! | Octatonic notation
! | Octatonic notation
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|colspan=8|Intervals in the diatonic 8-note scale
|colspan=8|The diatonic 8-note scale has the following intervals:
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| style="text-align:center;" | 0
| style="text-align:center;" | 0
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| style="text-align:center;" | d4
| style="text-align:center;" | d4
|-
|-
|colspan=8|Intervals in the chromatic 13-note scale
|colspan=8|The chromatic 13-note scale also has the following intervals:
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| style="text-align:center;" | 8
| style="text-align:center;" | 8
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| style="text-align:center;" | close to 9/7
| style="text-align:center;" | close to 9/7
| style="text-align:center;" | d5
| style="text-align:center;" | d5
|-
| style="text-align:center;" | 13
| style="text-align:right;" | 25.5
| style="text-align:center;" | (***)
| style="text-align:center;" | AA8 - octave
| style="text-align:center;" | -13
| style="text-align:right;" | 1174.5
| style="text-align:center;" |
| style="text-align:center;" | dd2 + octave
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|}
(*) using the 2.9.21.5.11.13 POTE generator; cf. the 463.64¢ generator in 44edo
(*) using the 2.9.21.5.11.13 POTE generator; cf. the 463.64¢ generator in 44edo


(**) 2.9.21.5.11.13.17.19.23 interpretations; harmonics are in bold
(**) 2.9.21.5.11.13.17.19.23 interpretations; harmonics are in bold
(***) 65/64 and other commas only tempered out by 13edo


[[18edo]] (466.67 cents) is an edge case, as it tempers out 81/80 but fails to approximate more diverse intervals with the same identifications used by 13edo, 44edo or 23edo. 18edo's oneirotonic is analogous to 17edo's diatonic scale in that L/s = 3, while 13edo is analogous to 12edo.
[[18edo]] (466.67 cents) is an edge case, as it tempers out 81/80 but fails to approximate more diverse intervals with the same identifications used by 13edo, 44edo or 23edo. 18edo's oneirotonic is analogous to 17edo's diatonic scale in that L/s = 3, while 13edo is analogous to 12edo.