The theory of modular scale with music

WIP

Basics

Basic of Wave

Basic Terminology

Music

Pitch: Quality that makes it possible to judge sounds as "higher" and "lower" in the sense associated with musical melodies.
Interval: Difference in pitch between two sounds.
Scale: Any set of musical notes ordered by fundamental frequency or pitch.
Chord: Any harmonic set of pitches consisting of multiple notes (also called "pitches") that are heard as if sounding simultaneously.

Map to CSS Size

Pitch => Units(px, pt, ...ETC)
Interval => Scale Ratio
Scale => number of notes
Chord => h1, h2, p harmonic

The_Abstract_Sound_Variables

Classic Modular Scale

6, 7, 8, 9, 10, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 55, 63, 73, 84, 96, ...

Pitch

Quality that makes it possible to judge sounds as "higher" and "lower" in the sense associated with musical melodies.

1920px-Sine_waves_different_frequencies svg

Perceptual property of sounds that allows their ordering on a frequency-related scale.

Pitch can be determined only in sounds that have a frequency that is clear and stable enough to distinguish from noise.

Pitch_perception

Modular Scale

Various units(px, rem, ...) of CSS can be the standard of high and low.

Interval

Difference in pitch between two sounds.

Main_intervals_from_C

An interval may be described as horizontal, linear, or melodic if it refers to successively sounding tones, such as two adjacent pitches in a melody.
Vertical or harmonic if it pertains to simultaneously sounding tones, such as in a chord.

Number of semitones	Intervals(Minor, Major, Perfect)	Short	Interval(Augmented or Diminished)	Short	Alias	Short	Pitch Ratio(5-limit tuning)	Decimal	Multiplier	Frequency(Hz)
0	Perfect unison	P1	Diminished second	d2			1:1	1	$2^{0 \over 12}$	440
1	Minor second	m2	Augmented unison	A1	Semitone	S	16:15	1.067	$2^{1 \over 12}$	466.16
2	Major second	M2	Diminished third	d3	Tone	T	9:8	1.125	$2^{2 \over 12}$	493.88
3	Minor third	m3	Augmented second	A2			6:5	1.2	$2^{3 \over 12}$	523.25
4	Major third	M3	Diminished fourth	d4			5:4	1.25	$2^{4 \over 12}$	554.37
5	Perfect fourth	P4	Augmented third	A3			4:3	1.333	$2^{5 \over 12}$	587.33
6			Diminished fifth / Augmented fourth	d5 / A4	Tritone	TT	45:32	1.414	$2^{6 \over 12}$	622.25
7	Perfect fifth	P5	Diminished sixth	d6			3:2	1.5	$2^{7 \over 12}$	659.26
8	Minor sixth	m6	Augmented fifth	A5			8:5	1.6	$2^{8 \over 12}$	698.46
9	Major sixth	M6	Diminished seventh	d7			5:3	1.667	$2^{9 \over 12}$	739.99
10	Minor seventh	m7	Augmented sixth	A6			16:9	1.778	$2^{10 \over 12}$	783.99
11	Major seventh	M7	Diminished octave	d8			15:8	1.875	$2^{11 \over 12}$	830.61
12	Perfect Octave	P8	Augmented seventh	A7			2:1	2	$2^{12 \over 12}$	880

Semitone is half tone

Modular Scale

modularscale-increase

Just as octave units in music have twice the frequency, they can grow as in classic modular scale:

6, ..., 12, ..., 24, ..., 48, ..., 96, ...

Scale

Any set of musical notes ordered by fundamental frequency or pitch.

Major_scale_in_the_chromatic_circle

For example, the diatonic scale consists of 7 out of 12 notes.

Types of scale

Scale	number of different pitch classes
monotonic	1
ditonic	2
tritonic	3
tetratonic	4
pentatonic	5
hexatonic	6
heptatonic	7
octatonic	8
decatonic	10
chromatic	12

Modular Scale

modularscale-Interval

Simply put, it's like a few notes to the next octave.

Classic modular scale's value is 5:

6, 7, 8, 9, 10, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 55, 63, 73, 84, 96, ...

Straighten out

You can now set the default formula for the modular scale.

$f_i = f_0 \times r^{i \over n}$

f_i = f_0 \times r^{i \over n}

$f_0$ : base size, classic defalut is 12pt
$i$ : $i$ th
$n$ : number of notes(interval at which the ratio is made), classic default is 5
$r$ : scale ratio, classic defalut is 2($octave)