Music Theory Calculator for Scales and Intervals

Music Theory Calculator

Map notes, scale degrees, chord quality, interval ratios, and beat timing from any tonic with a fast theory-first workflow.

📋 Quick Presets
🔧 Calculation Inputs
Theory only keeps the frequency, interval, and chord outputs front and center.
Primary result
--
Note frequency
Secondary result
--
Chord quality
Interval result
--
Semitones and cents
Timing result
--
Beat and bar length
Tonic--
Mode pattern--
Scale degree note--
Chord tones--
Frequency ratio--
Quarter note--
Bar duration--
📑 Theory Reference

Semitone Step

1.05946

Frequency ratio per semitone

Perfect Fifth

1.50000

Seven semitones above root

Octave

2.00000

Twelve semitones above root

Cents

100

Equal temperament cents per step

📈 Scale and Interval Table
Mode Steps I Chord Color
Major0 2 4 5 7 9 11MajBright
Natural minor0 2 3 5 7 8 10MinDark
Harmonic minor0 2 3 5 7 8 11MinTense
Dorian0 2 3 5 7 9 10MinCool
🎵 Common Theory Checks
Check Formula Result Use
Octave2:1 ratio12 stSame note
Fifth3:2 ratio7 stOpen sound
Third5:4 ratio4 stMajor color
Tempo bar240/bpm x sigBar msRhythm math
💬 Practical Notes
Tip: Match tonic and mode first so every degree lands on the right pitch.
Tip: Use the bar timing result to line up chord changes and scale practice.

Music theory studies how music works. It helps to understand the bases of musical practices and possibilities. The word commonly shows the basic elements for reading notes, for instance key signatures.

Theory explains elements like harmony, melody and rhythm Moreover it describes song form, tempo, notes, chords, intervals, scales and other things.

Basics of Music Theory

The origin of music theory you can trace to old civilizations. The Greeks created systems of scales and modes. Pythagoras was the first known person that discovered that harmonious intervals appear when simultaneous notes have frequencies in ratios of small integers.

During the Middle Ages you refined theory by means of introduction of notation.

Music theory is not a simple textbook. It studies the evolution of usual practices. The reasons and ways of music.

Various cultures made rules from their own customs, which gave many coherent systems, like Greek, Indian, Chinese and Arabic. Theory shows relations between notes in various musical traditions, which are many world wide.

Theory deals with musical notions, not with instruments. It is knowledge of the mind, not of the fingers. Every learning about scales, instruments, note names, chord names, any method for describing musical phenomenon, belongs to music theory.

You do not require formal classical theory to play well, but the things that you learn for goodness, stay real theory.

Musicians use musical elements and performance elements. Theory mostly engages with what a composer writes on paper. Exploration of scales, keys, intervals and their feelings help to create better music.

Especially the major scale matters. West theory bases on it. All other scales originate from that, at least in West music.

From major scale you can make any scale by means of change of the right notes.

No need to know theory to create or play music. Even so theory ranks among the most useful things for producing music best according to your skills. It will be compulsory when you plan to talk and work with other expert musicians.

Theory simplifies communication of notions and information, gives more opportunities for creating new music or improvising. It divides just playing from insight why the sounds operate like this.

Theory is best learned in little pieces. Even fifteen minutes daily will lead to progress. Good start gives major and minor scales, pentatonics and basic chords as triads and seventh chords.

Music Theory Calculator for Scales and Intervals

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