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Research draft

fifth

vr.tr.fifth · XCT.QTY

Let an agent handle the musical fifth by type, sound, notation, tuning and use in harmony, and separate other senses of fifth.

Thing Registry Cross-cutting context

Research draft, second pass

A second pass drafted this model: the structure a model of this thing needs, and what is known about it in the world. The line under this one says how the second half was obtained - researched against sources, or recalled without web access, in which case nothing here was read anywhere and every claim is a lead to verify. Unreviewed either way.

written by Claude from model knowledge without web access - no source was read, every claim is a lead to verify

Researched by: Claude

Purpose and description

Let an agent handle the musical fifth by type, sound, notation, tuning and use in harmony, and separate other senses of fifth.

In music, the interval spanning five diatonic scale degrees; the perfect fifth (seven semitones, frequency ratio about 3:2) is fundamental to harmony and tuning, with diminished and augmented fifths as variants.

What it is for: Harmony, tuning and composition.

It can be identify and name fifths; tune instruments by fifths; explain the circle of fifths; recognise fifths by ear.

Distinguishing features

Five scale degrees apart

Perfect fifth is very consonant

Basis of the circle of fifths

Used in tuning string instruments

What it looks like

Heard as a stable, open sound; written as notes five letter names apart.

Physical character

perfect fifth ratio: about 3:2 - just intonation

equal-tempered perfect fifth: 700 cents

How it is recognised

Seven semitones for a perfect fifth

Circle of fifths diagrams

Fifth as an ordinal or a fraction is a different sense

Related models

is a kind of - category

interval

is used in - practice

harmony and tuning

is related to - tool

circle of fifths

is confused with - another sense

fifth (ordinal)

In practice

Families and kinds

perfect fifth

diminished fifth

augmented fifth

power chords (related)

Failure modes and hazards

Confusing interval quality

Confusing senses

Also called

perfect fifthdiminished fifthminor fifthaugmented fifth

Where this came from

wikidata · CC0 1.0

Also registered as vr.tr.fifth-communication

Drafted structure

Bundle to layer to finding to question, as the second pass will find it: 4 bundles · 8 layers · 8 findings · 16 questions.

Interval Which fifth.

Quality matters.

Quality

Perfect, diminished.

Quality

Interval quality.

  1. Is it a perfect, diminished or augmented fifth? definition
  2. How many semitones? measurement

Notation

Notes.

Notation

Notation.

  1. Which notes form this fifth? definition
  2. How is it spelled correctly? definition
Harmony Use.

Fifths structure harmony.

Circle

Circle of fifths.

Circle

Circle of fifths.

  1. How does the circle of fifths relate keys? definition
  2. How is it used in composition? action

Voice leading

Parallel fifths.

Voice leading

Voice leading.

  1. Why are parallel fifths avoided in some styles? definition
  2. In which styles are they used freely? provenance
Tuning Instruments.

Tuning uses fifths.

Instruments

Strings.

Instruments

Tuning instruments.

  1. How are instruments such as the violin tuned in fifths? action
  2. Which reference pitch is used? provenance

Temperament

Systems.

Temperament

Temperament.

  1. How does the fifth differ between just and equal temperament? measurement
  2. Why does it matter? definition
Learning Ear training.

Ears can be trained.

Ear

Recognition.

Ear

Ear training.

  1. How can the fifth be recognised by ear? action
  2. Which reference songs help? provenance

Senses

Disambiguation.

Senses

Other senses.

  1. Is fifth as an ordinal, fraction or bottle size meant? boundary
  2. Which entry fits? action

What the second pass must settle

  • Should each fifth type be a separate entry?
  • How should tuning systems be linked?
  • How should other senses be split off?