Enum tune::layout::PrototypeTemperament

pub enum PrototypeTemperament {
    Meantone7,
    Mavila9,
    Porcupine7,
    Porcupine8,
}

The temperament providing the generation schema and layout rules for a given scale as a prototype.

Variants

Meantone7

Octave-reduced temperament treating 4 fifths to be equal to one major third.

The major third can be divided into two equal parts which form the primary steps of the scale.

The note names are derived from the genchain of fifths (3/2) [ … Bb F C G D A E B F# … ]. This results in standard music notation with G at one fifth above C and D at two fifths == 1/2 major third == 1 primary step above C.

This prototype template also applies to other chain-of-fifth-based temperaments like Mavila and Superpyth.

Mavila9

Similar to PrototypeTemperament::Meantone7 but with 9 natural notes instead of 7.

Due to the added notes, the usual relationships between interval names and just ratios no longer apply. For instance, a Mavila[9] major third will sound similar to a Meantone[7] minor third and a Mavila[9] minor fourth will sound similar to a Meantone[7] major third.

The generator (perfect sixth) needs to be a rather flat version of 3/2 in order to make this prototype work. The genchain order is [ … Fb, B, G, C, H, D, J, E, A, F, B# ].

Porcupine7

Octave-reduced temperament treating 3 “major” thirds to be equal to two major fourths.

This temperament is best described in terms of primary steps, three of which form a major fourth. A primary step, usually being smaller than a secondary step, can be formally considered a minor second but in terms of just ratios may be closer to a major second.

The note names are derived from the genchain of primary steps [ … Gb A B C D E F G A# … ]. In contrast to meantone, the intervals E-F and F-G have the same size of one primary step while G-A is different, usually larger.

Porcupine8

Similar to PrototypeTemperament::Porcupine7 but with 8 natural notes instead of 7.

Adding an additional note makes the primary step larger than the secondary step, resolving the issue of major intervals being smaller than minor intervals.

The genchain order is [ … Hb A B C D E F G H A# … ].

Trait Implementations

impl Clone for PrototypeTemperament

fn clone(&self) -> PrototypeTemperament

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for PrototypeTemperament

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Display for PrototypeTemperament

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Hash for PrototypeTemperament

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl PartialEq for PrototypeTemperament

fn eq(&self, other: &PrototypeTemperament) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl Copy for PrototypeTemperament

impl Eq for PrototypeTemperament

impl StructuralEq for PrototypeTemperament

impl StructuralPartialEq for PrototypeTemperament