Garibaldi: Difference between revisions

Overthink (talk | contribs)
Made target scale size based on harmonics rather than the whole diamond
Notation: focus on the 7-limit part
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== Notation ==
== Notation ==
Using schismic can be a challenge because it defies the tradition of tertian harmony in [[chain-of-fifths notation]]. The just major triad on C is C–Fb–G, for example. Due to the generalized comma of garibaldi, a natural choice is to adopt an additional module of accidentals such as arrows to represent the comma step, allowing them to write the chord above as C–vE–G.  
Like in [[schismic]], it is recommended to adopt an additional module of accidentals such as arrows to represent the comma step. Garibaldi further benefits from this as the arrow also stands in for the septimal comma, so that the same inflection can be used to reach classical and septimal intervals alike.
 
The following tables show how to notate 11- and 13-limit intervals in each extension of garibaldi.  


{| class="wikitable center-1 center-3"
{| class="wikitable center-1 center-3"
|+ style="font-size: 105%; white-space: nowrap;" | Cassandra nomenclature for<br />selected intervals
|+ style="font-size: 105%; white-space: nowrap;" | Cassandra nomenclature for<br>selected intervals
|-
|-
! Ratio
! Ratio
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|-
|-
| 11/8
| 11/8
| Down-diminished fifth<br>Double-down augmented fourth
| Down diminished fifth<br>Double-down augmented fourth
| C–vGb<br>C–vvF#
| C–vGb<br>C–vvF#
|-
|-