# sone2phon

Convert from sone to phon

## Syntax

``phon = sone2phon(sone)``
``phon = sone2phon(sone,standard)``

## Description

example

````phon = sone2phon(sone)` converts sone to phon, according to ISO 532-1:2017(E).```

example

````phon = sone2phon(sone,standard)` specifies the standard used to convert sone to phon.```

## Examples

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Plot the relationship between loudness (sone) and loudness levels (phon), as specified in ISO 532-1.

```s = (0.51:0.01:1.8).^10; p1 = sone2phon(s); semilogx(s,p1) xlabel('Loudness (sone)') ylabel('Loudness Level (phon)') title('Relation Between Sone and Phon (ISO 532-1)') grid on axis([0 s(end) 0 130])```

Plot the relationship between loudness (sone) and loudness levels (phon), as specified in ISO 532-2.

```p2 = sone2phon(s,'ISO 532-2'); semilogx(s,p2) xlabel('Loudness (sone)') ylabel('Loudness Level (phon)') title('Relation Between Sone and Phon (ISO 532-2)') grid on axis([0 s(end) 0 130])```

## Input Arguments

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Input loudness in sone, specified as a scalar, vector, matrix, or multidimensional array of nonnegative values.

Data Types: `single` | `double`

Reference standard for unit conversion, specified as `'ISO 532-1'` or `'ISO 532-2'`.

Data Types: `char` | `string`

## Output Arguments

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Output loudness level in phon, returned as a scalar, vector, matrix, or multidimensional array the same size as `sone`.

Data Types: `single` | `double`

## Algorithms

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### ISO 532-1: Zwicker Method

The Zwicker method of conversion from sone to phon is given by this equation in [1]:

`$phon=\left\{\begin{array}{c}40{\left(sone\right)}^{0.35}\\ 40+10{\mathrm{log}}_{2}\left(sone\right)\end{array}\begin{array}{c}\text{ }\\ \text{ }\end{array}\begin{array}{c}\text{if}\text{\hspace{0.17em}}sone<1\\ \text{otherwise}\text{\hspace{0.17em}}\end{array}$`

### ISO 532-2: Moore-Glasberg Method

In the Moore-Glasberg method, conversion from sone to phon is prescribed according to this table (table 5 in [2]).

Loudness Level (phon)

Calculated Loudness (sone)

0.00.001
2.20.004
4.00.008
5.00.010
7.50.019
10.00.031
15.00.073
20.00.146
25.00.26
30.00.43
35.00.67
40.01.00
45.01.46
50.02.09
55.02.96
60.04.14
65.05.77
70.08.04
75.011.2
80.015.8
85.022.7
90.032.9
95.047.7
100.069.6
105.0102.0
110.0151.0
115.0225.0
120.0337.6

The `sone2phon` function uses interpolation for values not specified in the table.

## References

[1] ISO 532-1:2017(E). "Acoustics – Methods for calculating loudness – Part 1: Zwicker method." International Organization for Standardization.

[2] ISO 532-2:2017(E). "Acoustics – Methods for calculating loudness – Part 2: Moore-Glasberg method." International Organization for Standardization.