24-10-2015

Ratio through Matter

The whole mathematics system is thought up, on what?
The language of what is knowable is the language of Ratio.

What is Ratio (source: wikipedia)?

In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second.  For example, if a bowl of fruit contains eight oranges and six lemons, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Thus, a ratio can be a fraction as opposed to a whole number. Also, in this example the ratio of lemons to oranges is 6:8 (or 3:4), and the ratio of oranges to the total amount of fruit is 8:14 (or 4:7).

The numbers compared in a ratio can be any quantities of a comparable kind, such as objects, persons, lengths, or spoonfuls. A ratio is written "a to b" or a:b, or sometimes expressed arithmetically as a quotient of the two. When the two quantities have the same units, as is often the case, their ratio is a dimensionless number. A rate is a quotient of variables having different units. But in many applications, the word ratio is often used instead for this more general notion as well.

A rate is the ratio between two related quantities. Often it is a rate of change. If the unit or quantity in respect of which something is changing is not specified, usually the rate is per unit time. However, a rate of change can be specified per unit time, or per unit of length or mass or another quantity. The most common type of rate is "per unit time", such as speed, heart rate and flux. Ratios that have a non-time denominator include exchange rates, literacy rates and electric flux.

In describing the units of a rate, the word "per" is used to separate the units of the two measurements used to calculate the rate (for example a heart rate is expressed "beats per minute"). A rate defined using two numbers of the same units (such as tax rates) or counts (such as literacy rate) will result in a dimensionless quantity, which can be expressed as a percentage (for example, the global literacy rate in 1998 was 80%) or fraction or as a multiple.

Often rate is a synonym of rhythm or frequency, a count per second (i.e., Hertz); e.g., radio frequencies or heart rate or sample rate.

We will not be talking of lemons and oranges, but Music.

Music = Ratio = Spirit

The Void Thought Sound

What we call and recognise as Music is a distilled representation of Beauty in Harmony and Unity.  It is an expression of the Soul in Matter.

It is recognised as music and not sound because it is organised and formed according to it's historical Growth, it is organised Unified Motion.  A temporal fleeting construction of Sound.  It is an expression.  It engenders Motion through vibrational frequency expressed in rhythm, pitch and volume.  It is a temporal apparition and a collective experience of Spirit.


Ratio in Music is Motion, a Movement which captivates the Spirit.

Prime .................. 1:1
Secunde .. 9:8
Terts .............. 5:4
Quart ................ 4:3
Quint................... 3:2
Sext ...... 5:3
Septime ..15:8
Octave ................. 1:2

The foundation of Mathematics appear.  1 2 and 3 have there Rational Basis in Vibration.  How vibration relates to vibration.

The Prime relates to itself and engenders with the Octave which comprises the seven and is the eight, the first naturale overtone.  The musical construction of harmony is to create tension and release in the vibrational frequency.




To create Music, the basic of the whole must be in Tune.   The instruments must be in the same pitch otherwise dissonance appears.  The tuning of the instruments is an agreement known as the Concert Pitch. 

The only pitch where the whole is sequence of Ratio has integer numbers is A=432 or C=512

Prime ......... 1:1   - 432hz
Secunde ....... 9:8   - 486hz
Terts ......... 5:4   - 540hz
Quart ......... 4:3   - 576hz
Quint.......... 3:2   - 648hz
Sext .......... 5:3   - 720hz
Septime ...... 15:8   - 810hz
Octave ........ 1:2   - 864hz


The note sequence is the construction of musical harmony in the Diatonic Scale, which has it's origin in History.

The diatonic scale is the combination of two Tetrachords starting with C - do

c - d - e - f  / g - a - b - c

The sequence of the scale is based on two chords, cords, accord, accorder (to agree)

c - e - g - b
d - f - a - c'



The Ratio appears as an organisation of Sound

It has a basis in Matter, it is the Heart of Matter

The Ratio in Matter

the Movement of Spirit through Matter 


SHEI MASA FUM DEMA
Manifest of the Spirit

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