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How to find Frequency of Any Music note (Formula + Examples)

how to find frequency of music notes

Hello Guys,

In this article, we will learn a method of finding out the frequency of any note from any music scale. We know that music note is nothing but a music sound frequency which is generated by vibrations. So when some one says that a note is being played, then, it means that a particular frequency is generated from that instrument.

What is the audible frequency range of a human ear?

We all have studied that human ear can listen any frequency between 20 Hertz to 20,000 Hertz. So any frequency between these numbers can be listened by a human being. All music we listen, (in fact, everything we listen from our ears) is between 20 Hz and 20 KHz (20000 Hz).

Does musical notes have fixed frequency?

Answer is Yes! Every note comes in a certain octave and every note has its fixed frequency. For example A Note of 4th octave has 440 Hz frequency. (Frequency of A4=440 Hz). Like wise, frequency of A5 (A note of 5th octave) is 880 Hz. So the same note in the consecutive higher octave have just double frequency then the previous. It means:

Frequency of A6 Note = 2 X Frequency of A5 Note = 2 X 880 Hz = 1760 Hz.

So by musical frequency law, an octave has 12 notes, which are equally spaced from its lower and higher nearest notes.

It means:-

A5/G#5 (1 semitone difference notes) = G#5/G5 (1 semitone difference notes) (The ratio will be same with reference to the steps)

How to find Frequency Relation from a Known Musical Note?

Okay, now we have seen that when an octave is completed; the frequency get doubled. So how to find the formula for the increment of the frequency in the octave (divide the increment in the each half step equally so that the ratio remains same for two consecutive notes). You can understand it better from following steps:

Since the frequency is doubled after one octave (after 12 notes or half steps or semitones), we have to find out the increment in such a way that the ratio of any two consecutive note’s frequency, remain same in all the octaves. It means we have to find out 12th root of the number 2, because the frequency is doubled just after 12 notes, Understand this in the way:
[12th root of 2] if, multiplied 12 times to self = results in 2 (it means ((2^(1 ÷ 12))^12) = 2)

12th root of 21.05946309436 (Lets say its 1.059463)

It means 1.059463 multiplied to self 12 times = 2 ((1.059463^12)=2)

Hence any note’s frequency from a known note frequency will be: f(n) = f(0) * (a)n

Where f(0) = Frequency of any known note o

f(n) = Required and unknown frequency of any note which is n half steps away from f(o)

n = number of half steps between f(n) and f(0) (it may be in minus too if f(n)<f(0))

a= 12th root of 2 or 1.059463 (this is the approximate ratio of two consecutive notes anywhere in music)

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Example of finding out Frequency of any Musical Note from Above Formula

Example I (frequency of any note above a known frequency note)

Lets say, we know the frequency of A4 note which is 440 Hz.

Consider that, we have to find out the frequency of D5 note.

So f(n) = f(D5)

f(0) = f(A4) = 440 Hz

n = number of half-steps between A4 and D5

So let us accend in the order : A4A#4B4C5C#5D5. So there are total 5 Half Steps between D5 and A4.

hence = +5 (because f(n)>f(o))

And a = constant = 1.059463

So lets put all the values together in the formula:

f(n) = f(0) * (a)n

f(D5) = 440 * (1.059463)^5

f(D5) = 440 * 1.33483925974 = 587.329274287 OR 587.329 Hz approximately ANSWER

Example II (frequency of any note below a known frequency note)

Lets say, we know the frequency of A4 note which is 440 Hz.

Consider that, we have to find out the frequency of D4 note.

So f(n) = f(D4)

f(0) = f(A4) = 440 Hz

n = number of half-steps between A4 and D4

So let us ascend in the order : D4D#4E4F4F#4G4G#4A4. So there are total 7 Half Steps between D4 and A4.

hence = -7 (because f(n)<f(o))

And a = constant = 1.059463

So lets put all the values together in the formula:

f(n) = f(0) * (a)n

f(D4) = 440 * (1.059463)^-7

f(D4) = 440 * 0.66742034318 = 293.664951001 OR 293.665 Hz approximately ANSWER

So you can find out any notes frequency from the above given formula, provided that you have a reference note frequency.

Please write in comments if you have any further query. You can also purchase top home recording gadgets from THIS PAGE for building your studio! If you want to learn music theory in deep you can also purchase the following books which are available on amazon.

 

 

 

Theory of Music Workbook Grade 1 (Trinity Guildhall Theory of Music)


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Music Theory: From Beginner to Expert; The Ultimate Step-by-Step Guide to Understanding and Learning Music Theory Effortlessly


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* Updated and massively Expanded edition with Audio examples, new Exercises, and over 150 pages of NEW content! *** On a special promo price for a limited time! **Have you ever wanted:

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  • To unlock the mysteries of notes, intervals, music scales, modes, keys, circle of fifths, chords and chord progressions, and other important concepts in music, and how they all relate to one another?
  • To get a deep understanding of scales, modes and chords, where they come from, what are the different types that exist, how they’re built, and how to use any chord or scale in your playing?
  • To learn how rhythm works and how to master your rhythm and time skills that will make you sound like a pro?
  • To know what’s the magic behind all the beautiful music that you love and how you can (re)create it?
  • To get a broad perspective of tonal harmony, and how melody, harmony, and rhythm work together?
  • Understand advanced concepts (such as modal playing, atonality, polytonality, free music, etc.) that usually only advanced jazz musicians use?

But…

  • Have you ever been put off by music theory or thought that it wasn’t necessary, boring or too hard to learn?

If you find yourself in any of this, then this book is what you need. It covers pretty much everything that anyone who plays or wants to play music, and wishes to become a better musician, should know.
This is one of the most comprehensive and straightforward, evergreen books on music theory that you can find, and you will wish to study it often and keep it forever.
The book is structured in a way that is very easy to follow and internalize all the concepts that are explained. You don’t have to be a college degree music student in order to understand and use any of this – anyone can do it, even a total beginner! It also doesn’t matter what instrument(s) you play nor what is your level of knowledge or playing ability, because music theory is universal and all about what sounds good together! It explains the WHY and HOW, and it is your roadmap, a skill and a tool – guided by your ears – for creating beautiful music
This book will give you what is necessary to become a true expert in music theory without frustration and feeling overwhelmed in the process, and this in-turn will have immense benefits to your playing and musicianship!
Just use the look inside feature by clicking on the book cover to get a sneak peak of what you’ll learn inside…
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Additional Images:

Music Theory: From Beginner to Expert; The Ultimate Step-by-Step Guide to Understanding and Learning Music Theory Effortlessly


Features: Createspace Independent Publishing Platform
By (author): Nicolas Carter

Unique, Simple and Straightforward Way to Learn Music Theory and Become a Better Musician, Even if You’re a Total Beginner!
* Updated and massively Expanded edition with Audio examples, new Exercises, and over 150 pages of NEW content! *** On a special promo price for a limited time! **Have you ever wanted:

  • To know how understanding music theory can make you a better player (on any instrument)?
  • To unlock the mysteries of notes, intervals, music scales, modes, keys, circle of fifths, chords and chord progressions, and other important concepts in music, and how they all relate to one another?
  • To get a deep understanding of scales, modes and chords, where they come from, what are the different types that exist, how they’re built, and how to use any chord or scale in your playing?
  • To learn how rhythm works and how to master your rhythm and time skills that will make you sound like a pro?
  • To know what’s the magic behind all the beautiful music that you love and how you can (re)create it?
  • To get a broad perspective of tonal harmony, and how melody, harmony, and rhythm work together?
  • Understand advanced concepts (such as modal playing, atonality, polytonality, free music, etc.) that usually only advanced jazz musicians use?

But…

  • Have you ever been put off by music theory or thought that it wasn’t necessary, boring or too hard to learn?

If you find yourself in any of this, then this book is what you need. It covers pretty much everything that anyone who plays or wants to play music, and wishes to become a better musician, should know.
This is one of the most comprehensive and straightforward, evergreen books on music theory that you can find, and you will wish to study it often and keep it forever.
The book is structured in a way that is very easy to follow and internalize all the concepts that are explained. You don’t have to be a college degree music student in order to understand and use any of this – anyone can do it, even a total beginner! It also doesn’t matter what instrument(s) you play nor what is your level of knowledge or playing ability, because music theory is universal and all about what sounds good together! It explains the WHY and HOW, and it is your roadmap, a skill and a tool – guided by your ears – for creating beautiful music
This book will give you what is necessary to become a true expert in music theory without frustration and feeling overwhelmed in the process, and this in-turn will have immense benefits to your playing and musicianship!
Just use the look inside feature by clicking on the book cover to get a sneak peak of what you’ll learn inside…
Get this book now and solve all your problems with music theory, and become proficient in this field!
Pick up your copy by clicking on the BUY now button at the top of this page.

List Price: INR 831.00
New From: INR 1,205.00 In Stock
Used from: Out of Stock

Theory of Music Workbook Grade 2 (Trinity Guildhall Theory of Music)


By (author): Naomi Yandell

This theory workbook contains worked examples and sample exercises for Trinity College London Theory Grade 2 examinations from 2007. This is suitable for use in lessons or at home, for private study.
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New From: INR 481.00 In Stock
Used from: Out of Stock

Theory of Music Workbook Grade 4 (Trinity Guildhall Theory of Music)


By (author): Naomi Yandell

This theory workbook contains worked examples and sample exercises for Trinity College London Theory Grade 4 examinations from 2007. This is suitable for use in lessons or at home, for private study.
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Music Theory in Practice, Grade 2 (Music Theory in Practice (ABRSM))


Features: Associated Board of the Royal
By (author): Eric Taylor

The Music Theory in Practice series has helped more than one million musicians worldwide to learn about the notation and theory of music. Now fully revised, this workbook remains the best way to prepare for ABRSM’s Grade 2 Theory of Music Exam. Features a clear explanation of music notation, many worked examples and practice exercises, definitions of important words and concepts, specimen exam questions and helpful tips for students. As well as supporting the ABRSM Theory syllabus, this workbook also provides an excellent resource for anyone wishing to develop general music literacy skills.
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Theory of Music Workbook Grade 6 (Trinity Guildhall Theory of Music)


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By (author): Naomi Yandell

Theory of Music Workbook Grade 6
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Guitar Lesson #2 How to Play Guitar: How to buy a guitar for beginners in India?

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Please read the last article at: Guitar Lesson #1

So in the previous article you have seen that what are the things which you have to learn in guitar. It means scales, chords, strumming, finger plucking etc. In this article we will have a look at the factors which you shoud consider while purchasing a guitar in India.

You can also watch this video for Hindi Guitar Learning Video for this article down below:

What are the types of guitar?

Depending upon operation of the guitar, it can be divided in two broad parts:

  1. Acoustic Guitar:

    In this type of guitar the sound is produced by sound hole and no external attatchments are required. You can just lift your guitar and start playing. There are normally six strings on this type of guitar.

  2. Electric Guitar:

In this type of guitar external/internal amplifiers are required to generate the sound. However, the tuning and shape of all the chords are same but the tonal structure of this guitar is different from acoustic guitar.

Depending upon design of the acoustic guitar, it can be divided in two types:

  1. Cutaway Design Guitar:

In this type of guitar, there is a cut on the body near higher frets. So you can play on higher frets without much difficulty.

2. Dreadnought Design Guitar:

In this type of guitar, the sound hole is fully round and there is no cut on the guitar. Hence you have a little difficulty to play on the higher frets but you get the deeper sound of guitar.

Okay! so we have to choose a guitar which fits our price range. Normally you can purchase a beginner’s guitar in India from 2000 Rupees to 10000 Rupees. For more details you can VISIT THIS PAGE HERE.

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Now you might be thinking that which guitar you have to buy. Well the answer for most of the beginner guitarists is same.

So which guitar to Purchase?

You should buy a guitar which fits in your budget. The guitar should be acoustic for beginners. The guitar should be cutaway design for practicing on higher frets. It should be of well size for you. The action should not be too much on the guitar! Means the gap between frets and strings.

I hope you liked this short article and if you have any doubts, you can write in the comments below!

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Guitar Lesson #1 How to Play Guitar: Introduction to Guitar Learning (Learn to Play the Guitar Full Beginners Lesson)

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Hey guys! Do you want to Learn How to play Guitar?

There are many reasons to learn guitar. Guitar is a very fashionable music instrument and it attracts everyone due to its sound and the versatility in music. For example one person can play tunes on guitar, another can make strumming sounds and another person can play beats on the guitar and can sing together. So in this article let me explain to you that if you want to learn guitar, then what are the things you have to learn.

Watch this video in Hindi for Guitar Lesson #1

Playing Leads/Scales on Guitar

So the first thing you have to learn on guitar is, to play melodies. That mean if you are listening any song then you will observe that the song is playing in a tune. And that tune is played in a particular scale. So you have to learn scales on the guitar. So that you can play any tune which you want. For playing scales on the guitar, you have to use your left hand on the fret board and with the right hand you can pluck the strings with the pick.

Strumming Patterns on Guitar

Strumming patterns are the sounds which you make by your right hand while striking the strings on the fretboard on the sound hole. And this makes beats-like sound. So that you can sing together. There are many types of strumming patterns, but one person has to learn at least 3 to 5 strumming pattern to play his basic songs.

Guitar Chords

In the music, when two or more notes are played at the same time from any instrument the sound is called chord. On the guitar, you also have to learn chords, which you can play with your left hand on the fret body by positioning your fingers on fret. At the same time you have to either finger-pluck Or strum the strings with the right hand.

Guitar Finger Plucking

Finger plucking is another kind of guitar playing. In this type of playing, we have to change the fingers position in the left hand and, instead of using a pick, we use our fingers of right hand on the sound hole. This can make possible playing the music lead and its background chords on the guitar.

Guitar Practice Schedule

So now might be thinking that how much, should one person do his practice while learning guitar. Ok, so first thing which I want to say to you, is that, you have to give your maximum time in the starting. You should never limit your time while practicing guitar. Because in the starting, the much time you give to your guitar, the much you will learn and much you will stay motivated. I know it’s very hard to remain motivated while learning guitar because it may be very frustrating to beginner guitarist. But believe me, if you keep on playing the guitar you will learn soon. If you ask for the timing, then you should give at least 2 hours on a day to your guitar. You should move on the next lesson if you think that you have done enough practice on the current lesson.

If you want to purchase a Guitar for you, you can visit “THIS PAGE”.

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Please write in comments of you have any doubt.

If you want to setup your own home recording studio, then you should visit the shopping section of this website. There I have placed a lot of musical instruments and Gadgets to use and they all are in your budget. So please have a look at that page and if you like any audio interface etc, then you can make a purchase from the given link of Amazon.musical mahesh audio interfaces