View source for 7L 3s (8/3-equivalent)

{{Infobox MOS}}
{{MOS intro}} The [[bright]] [[generator]] of these scales is close to an octave.

== Scale properties ==
{{TAMNAMS use}}

=== Intervals ===
{{MOS intervals}}

=== Generator chain ===
{{MOS genchain}}

=== Modes ===
{{MOS mode degrees}}

== Scale tree ==
{{MOS tuning spectrum}}

Other compatible ~ed8/3s include: ~[[37ed8/3]], ~[[27ed8/3]], ~[[44ed8/3]], ~[[41ed8/3]], ~[[24ed8/3]], ~[[31ed8/3]].

You can also build this scale by equally dividing frequency ratio 8:3 which is not a member of an edo or stacking frequency ratio 4:3 which is not a member of an equal division of it within it.

== Rank-2 temperaments ==
The '''Bolivar''' [[rank-2]] temperament spells its major [[tetrad]] 4:5:6:8 or 14:18:21:28<code>root-3(2g-p)-(2g-p)-(1g)</code> ({{nowrap|p {{=}} 8/3|g {{=}} 2/1}}) and its minor tetrad 6:7:9:12 or 10:12:15:20 <code>root-2(p-2g)-(2g-p)-(1g)</code> ({{nowrap|p {{=}} 8/3|g {{=}} 2/1}}). Basic ~17ed8/3 fits both interpretations.

=== Bolivar–Meantone ===
[[Subgroup]]: 8/3.2.5/4

[[Comma]] list: [[81/80]]

[[POL2]] generator: ~2/1 = 1196.3254

[[Mapping]]: [{{val|1 0 -3}}, {{val|0 1 6}}]

[[Optimal ET sequence]]: ~([[17ed8/3]], [[27ed8/3]], [[44ed8/3]])

=== Bolivar–Archy ===
[[Subgroup]]: 8/3.2.7/6

[[Comma]] list: [[64/63]]

[[POL2]] generator: ~2/1 = 1206.6167

[[Mapping]]:  [{{val|1 0 2}}, {{val|0 1 -4}}]

[[Optimal ET sequence]]: ~([[17ed8/3]], [[24ed8/3]], [[31ed8/3]], [[38ed8/3]])

== 7-note subsets ==
If you stop the chain at 7 tones, you have a [[heptatonic]] scale of the form [[3L 4s (eleventh equivalent)|3L 4s]]:

L s s L s L s

The large steps here consist of L+s of the 10-tone system, and the small step is the same as L. 

== Tetrachordal structure ==
Due to the frequency of perfect fourths and fifths in this scale, it can also be analyzed as a [[tetrachord|tetrachordal scale]].