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Doktor Mayhem ♦
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I have several questions on the subject of note frequencies and their ranges:

First Question

How should I calculate the frequency of a quarter tone, such as the half-flat (half-bemol) that is found in Arabic/Eastern music such as for the Oud?

I have two theories, and I want to know which one is correct.

Let's take E3 (Mi3) for an example here.
I want to calculate its half-flat (half-bemol) frequency value, which is a quarter note under the E3 value.
We know that E3's frequency is 164.81 Hz, and Eb3 is half step lower with frequency of 155.56 Hz.
So if I want to calculate the value of the E(half-flat)3, will it be:

  1. the geometric mean:
    square root (164.81 * 155.56)
    = 160.11
    or

  2. the arithmetic mean:
    average (164.81 , 155.5)
    = 160.15

Second Question

If I want to cover all the frequencies with notes, i.e. map all frequencies to some note, where will the separation point be? (I mean the start of the range and end of the range)

Should I use the geometric or arithmetic mean to find the start and end of the range?

Let's again take E3 (164.81 Hz) for an example, and we have Eb3 (155.56 Hz) below it and F3 (174.61 Hz) above it.

Is it more accurate to say that E3 ranges between:

  1. square root (155.56 * 164.81) to square root (164.81 * 174.61)
    = 160.11 to 169.63
    or

  2. average (155.56 , 164.81) to average (164.81 , 174.61)
    = 160.15 to 169.71

Third Question

In some tuners I see that they pick slightly different numbers for the notes, that is also based on 440 Hz, Is there any difference between notes other than the 440 Hz?

I have several questions on the subject of note frequencies and their ranges:

First Question

How should I calculate the frequency of a quarter tone, such as the half-flat (half-bemol) that is found in Arabic/Eastern music such as for the Oud?

I have two theories, and I want to know which one is correct.

Let's take E3 (Mi3) for an example here.
I want to calculate its half-flat (half-bemol) frequency value, which is a quarter note under the E3 value.
We know that E3's frequency is 164.81 Hz, and Eb3 is half step lower with frequency of 155.56 Hz.
So if I want to calculate the value of the E(half-flat)3, will it be:

  1. the geometric mean:
    square root (164.81 * 155.56)
    = 160.11
    or

  2. the arithmetic mean:
    average (164.81 , 155.5)
    = 160.15

Second Question

If I want to cover all the frequencies with notes, i.e. map all frequencies to some note, where will the separation point be? (I mean the start of the range and end of the range)

Should I use the geometric or arithmetic mean to find the start and end of the range?

Let's again take E3 (164.81 Hz) for an example, and we have Eb3 (155.56 Hz) below it and F3 (174.61 Hz) above it.

Is it more accurate to say that E3 ranges between:

  1. square root (155.56 * 164.81) to square root (164.81 * 174.61)
    = 160.11 to 169.63
    or

  2. average (155.56 , 164.81) to average (164.81 , 174.61)
    = 160.15 to 169.71

Third Question

In some tuners I see that they pick slightly different numbers for the notes, that is also based on 440 Hz, Is there any difference between notes other than the 440 Hz?

I have several questions on the subject of note frequencies and their ranges:

First Question

How should I calculate the frequency of a quarter tone, such as the half-flat (half-bemol) that is found in Arabic/Eastern music such as for the Oud?

I have two theories, and I want to know which one is correct.

Let's take E3 (Mi3) for an example here.
I want to calculate its half-flat (half-bemol) frequency value, which is a quarter note under the E3 value.
We know that E3's frequency is 164.81 Hz, and Eb3 is half step lower with frequency of 155.56 Hz.
So if I want to calculate the value of the E(half-flat)3, will it be:

  1. the geometric mean:
    square root (164.81 * 155.56)
    = 160.11
    or

  2. the arithmetic mean:
    average (164.81 , 155.5)
    = 160.15

Second Question

If I want to cover all the frequencies with notes, i.e. map all frequencies to some note, where will the separation point be? (I mean the start of the range and end of the range)

Should I use the geometric or arithmetic mean to find the start and end of the range?

Let's again take E3 (164.81 Hz) for an example, and we have Eb3 (155.56 Hz) below it and F3 (174.61 Hz) above it.

Is it more accurate to say that E3 ranges between:

  1. square root (155.56 * 164.81) to square root (164.81 * 174.61)
    = 160.11 to 169.63
    or

  2. average (155.56 , 164.81) to average (164.81 , 174.61)
    = 160.15 to 169.71

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Elements In Space ♦
Elements In Space ♦
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How To Calculate Frequency Calculating the frequency of quarter tone (half bemol, half diez), And Assign ranges to themtones

Happy to be here.

I have Severalseveral questions on the subject of Note Frequenciesnote frequencies and their Rangesranges:

First Question

First Question is : How to Calculateshould I calculate the frequency of a quarter tone, such as the half flat-flat (half- half bemol.bemol) that is found in Arabic/Eastern music such as for the Oud?

so i facedI have two theories, and I wanted Towant to know which one is correct.

letsLet's take E3- (Mi3) for an example here, I.
I want to calculate it'sits half-flat (half flat) half-bemol) frequency value. which, which is a quarter note under the E3/Mi3 value. we
We know that E3/Mi3E3's frequency is 164.81 Hz, and E3b/Mi3bEb3 is half step underlower with frequency of 155.56 Hz. 
soSo if iI want to calculate the value of the E3(half flat)E(half bemol-flat) which is a quarter note under E3/Mi3.3, will it be:

1- squareRoot(164.81 * 155.56) = 160.11 or

  1. the geometric mean:
    square root (164.81 * 155.56)
    = 160.11
    or

  2. the arithmetic mean:
    average (164.81 , 155.5)
    = 160.15

2- average(164.81 , 155.5) = 160.15

Second Question

Second Question: if i If I want to cover all the frequencies with notes -> map each frequency, i get.e. map all frequencies to a Notesome note, where where will the seperationseparation point be? i(I mean the start of the range and end of the range. do i need to calculate the square root of multiplying two notes, and that will be the end range of the first and the start range of)

Should I use the other ?geometric or do i needarithmetic mean to dofind the average between themstart and that will beend of the range.?

lets takeLet's again take E3/Mi3 (164.81 Hz) for andan example, and lets say we have E3b/Mi3b before it and F3/Fa3 after it.

E3b/Mi3b frequency is: 155Eb3 (155.56

E3/Mi3 frequency is: 164.81

Hz) below it and F3/Fa3 frequency is: 174 (174.61 Hz) above it.

isIs it more accurate to say that E3/Mi3 Ranges ranges between:

1- squareRoot(155.56 * 164.81) to squareRoot(164.81 * 174.61) -> 160.11 to 169.63

  1. square root (155.56 * 164.81) to square root (164.81 * 174.61)
    = 160.11 to 169.63
    or

  2. average (155.56 , 164.81) to average (164.81 , 174.61)
    = 160.15 to 169.71

2- average(155.56 , 164.81) to average(164.81 , 174.61) -> 160.15 to 169.71

Third Question

Third Question is: in In some tuners iI see that they pick a littleslightly different numbers for the Notesnotes, that is also based on 440hz440 Hz, isIs there any difference between notes other than the 440hz.

I really Appreciate it guys. And thanks for any help.440 Hz?

How To Calculate Frequency of quarter tone (half bemol, half diez), And Assign ranges to them

Happy to be here.

I have Several questions on the subject of Note Frequencies and their Ranges

First Question is : How to Calculate the frequency of a quarter tone, half flat - half bemol. that is found in Arabic/Eastern music such as Oud?

so i faced two theories, and I wanted To know which one is correct.

lets take E3-Mi3 for an example here, I want to calculate it's (half flat) half-bemol frequency value. which is a quarter note under the E3/Mi3 value. we know that E3/Mi3 frequency is 164.81, and E3b/Mi3b is half step under with frequency of 155.56. so if i want to calculate the value of the E3(half flat)(half bemol) which is a quarter note under E3/Mi3. will it be:

1- squareRoot(164.81 * 155.56) = 160.11 or

2- average(164.81 , 155.5) = 160.15

Second Question: if i want to cover all the frequencies with notes -> map each frequency i get to a Note, where will the seperation point be? i mean the start of the range and end of the range. do i need to calculate the square root of multiplying two notes, and that will be the end range of the first and the start range of the other ? or do i need to do the average between them and that will be the range.

lets take again E3/Mi3 for and example, and lets say we have E3b/Mi3b before it and F3/Fa3 after it.

E3b/Mi3b frequency is: 155.56

E3/Mi3 frequency is: 164.81

F3/Fa3 frequency is: 174.61

is it more accurate to say that E3/Mi3 Ranges between:

1- squareRoot(155.56 * 164.81) to squareRoot(164.81 * 174.61) -> 160.11 to 169.63

2- average(155.56 , 164.81) to average(164.81 , 174.61) -> 160.15 to 169.71

Third Question is: in some tuners i see that they pick a little different numbers for the Notes, that is also based on 440hz, is there any difference between notes other than the 440hz.

I really Appreciate it guys. And thanks for any help.

Calculating the frequency of quarter tones

I have several questions on the subject of note frequencies and their ranges:

First Question

How should I calculate the frequency of a quarter tone, such as the half-flat (half-bemol) that is found in Arabic/Eastern music such as for the Oud?

I have two theories, and I want to know which one is correct.

Let's take E3 (Mi3) for an example here.
I want to calculate its half-flat (half-bemol) frequency value, which is a quarter note under the E3 value.
We know that E3's frequency is 164.81 Hz, and Eb3 is half step lower with frequency of 155.56 Hz. 
So if I want to calculate the value of the E(half-flat)3, will it be:

  1. the geometric mean:
    square root (164.81 * 155.56)
    = 160.11
    or

  2. the arithmetic mean:
    average (164.81 , 155.5)
    = 160.15

Second Question

If I want to cover all the frequencies with notes, i.e. map all frequencies to some note, where will the separation point be? (I mean the start of the range and end of the range)

Should I use the geometric or arithmetic mean to find the start and end of the range?

Let's again take E3 (164.81 Hz) for an example, and we have Eb3 (155.56 Hz) below it and F3 (174.61 Hz) above it.

Is it more accurate to say that E3 ranges between:

  1. square root (155.56 * 164.81) to square root (164.81 * 174.61)
    = 160.11 to 169.63
    or

  2. average (155.56 , 164.81) to average (164.81 , 174.61)
    = 160.15 to 169.71

Third Question

In some tuners I see that they pick slightly different numbers for the notes, that is also based on 440 Hz, Is there any difference between notes other than the 440 Hz?

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Majd Mahajenah
Majd Mahajenah
  • 83
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How To Calculate Frequency of quarter tone (half bemol, half diez), And Assign ranges to them

Happy to be here.

I have Several questions on the subject of Note Frequencies and their Ranges

First Question is : How to Calculate the frequency of a quarter tone, half flat - half bemol. that is found in Arabic/Eastern music such as Oud?

so i faced two theories, and I wanted To know which one is correct.

lets take E3-Mi3 for an example here, I want to calculate it's (half flat) half-bemol frequency value. which is a quarter note under the E3/Mi3 value. we know that E3/Mi3 frequency is 164.81, and E3b/Mi3b is half step under with frequency of 155.56. so if i want to calculate the value of the E3(half flat)(half bemol) which is a quarter note under E3/Mi3. will it be:

1- squareRoot(164.81 * 155.56) = 160.11 or

2- average(164.81 , 155.5) = 160.15

Second Question: if i want to cover all the frequencies with notes -> map each frequency i get to a Note, where will the seperation point be? i mean the start of the range and end of the range. do i need to calculate the square root of multiplying two notes, and that will be the end range of the first and the start range of the other ? or do i need to do the average between them and that will be the range.

lets take again E3/Mi3 for and example, and lets say we have E3b/Mi3b before it and F3/Fa3 after it.

E3b/Mi3b frequency is: 155.56

E3/Mi3 frequency is: 164.81

F3/Fa3 frequency is: 174.61

is it more accurate to say that E3/Mi3 Ranges between:

1- squareRoot(155.56 * 164.81) to squareRoot(164.81 * 174.61) -> 160.11 to 169.63

2- average(155.56 , 164.81) to average(164.81 , 174.61) -> 160.15 to 169.71

Third Question is: in some tuners i see that they pick a little different numbers for the Notes, that is also based on 440hz, is there any difference between notes other than the 440hz.

I really Appreciate it guys. And thanks for any help.