Hemipyth: Difference between revisions

Line 79:

=== Neutral thirds ===

The 2.√(3/2) part can be notated using [[neutral chain-of-fifths notation]]. This introduces a neutral interval quality between major and minor, semisharps etc.

The 2.√(3/2) part can be notated using [[neutral chain-of-fifths notation]]. This introduces a neutral interval quality between major and minor, semisharps (a.k.a. demisharps) etc.

=== Semioctaves ===

Line 109:

| β || bet || B - P4.5 || (9/8)^(5/2) || 509.775

|}

Where to put the greek notes on a staff is still being decided. Probably on the same lines as traditional notes but with distinct noteheads. E.g. a middle η would look like a middle C, but with an upwards pointing triangular notehead.

=== Semifourths ===

Luckily we don't need to introduce any more generalizations to the notation to indicate √(4/3). It's a neutral 2½ or a α{{demiflat2}} (alp semiflat) w.r.t middle C.

Nicknames are still assigned to make it easier to talk about the [[5L 4s]] scale generated by √(4/3) against the octave.

{| class="wikitable"

|+ Semifourth nominals

|-

! Nominal !! Pronunciation !! Meaning !! Ratio with middle C !! Cents

|-

| φ || phi || α{{demiflat2}} || √(4/3) || 249.022

|-

| χ || chi || β{{demiflat2}} || √(27/16) || 452.933

|-

| ψ || psi || ε{{demiflat2}} || √3 || 950.978

|-

| ω || ome || ζ{{demisharp2}} || √(243/64) || 1154.888

|}

These particular definitions were chosen so that C, D, φ, χ, F, G, A, ψ, ω, (C) becomes the 6|2 (Stellerian) mode, all notated without accidentals.

@@ Line 79: / Line 79: @@
 === Neutral thirds ===
-The 2.√(3/2) part can be notated using [[neutral chain-of-fifths notation]]. This introduces a neutral interval quality between major and minor, semisharps etc.
+The 2.√(3/2) part can be notated using [[neutral chain-of-fifths notation]]. This introduces a neutral interval quality between major and minor, semisharps (a.k.a. demisharps) etc.
 === Semioctaves ===
@@ Line 109: / Line 109: @@
 | β || bet || B - P4.5 || (9/8)^(5/2) || 509.775
 |}
+Where to put the greek notes on a staff is still being decided. Probably on the same lines as traditional notes but with distinct noteheads. E.g. a middle η would look like a middle C, but with an upwards pointing triangular notehead.
+=== Semifourths ===
+Luckily we don't need to introduce any more generalizations to the notation to indicate √(4/3). It's a neutral 2½ or a α{{demiflat2}} (alp semiflat) w.r.t middle C.
+Nicknames are still assigned to make it easier to talk about the [[5L 4s]] scale generated by √(4/3) against the octave.
+{| class="wikitable"
+|+ Semifourth nominals
+|-
+! Nominal !! Pronunciation !! Meaning !! Ratio with middle C !! Cents
+|-
+| φ || phi || α{{demiflat2}} || √(4/3) || 249.022
+|-
+| χ || chi || β{{demiflat2}} || √(27/16) || 452.933
+|-
+| ψ || psi || ε{{demiflat2}} || √3 || 950.978
+|-
+| ω || ome || ζ{{demisharp2}} || √(243/64) || 1154.888
+|}
+These particular definitions were chosen so that C, D, φ, χ, F, G, A, ψ, ω, (C) becomes the 6|2 (Stellerian) mode, all notated without accidentals.