2D Diffuser Calculator for Skyline Panels

2D Diffuser Calculator

Calculate a skyline diffuser grid from panel size, cell width, prime order, design frequency, and residue depth steps.

🎵Studio Presets
Diffuser Inputs
Depth formula: step depth = speed of sound ÷ (2 × prime order × design frequency). Each skyline well uses ((x² + y²) mod prime) × step depth.
Maximum Well Depth
0 in
0 cm
Grid Cells
0
0 depth steps
Panel Coverage
0 ft²
0 m²
Block Volume
0 ft³
0 lb estimated
📊Live Spec Grid
1.0 in
Single Depth Step
3.4 kHz
Cell Width Upper Limit
565 Hz
Approx Low Limit
7 x 7
Residue Repeat Tile
🔢Prime Order Reference
Prime Order Depth Values Best Panel Use Design Note
50 through 4Door, booth, cloudFast repeat, shallow pattern
70 through 6Small studio wallsCompact 2D diffusion
110 through 10Mix room rear wallGood balance of depth and scatter
130 through 12Live room panelsMore varied well depths
170 through 16Large wall arraysNeeds tighter cells or a larger panel
📐Cell Width and Frequency Guide
Cell Width Metric Width Approx Upper Limit Common Use
1 in2.5 cm6.8 kHzHigh resolution skyline
1.5 in3.8 cm4.5 kHzControl room detail
2 in5.1 cm3.4 kHzGeneral studio panel
3 in7.6 cm2.3 kHzLarge blocks, deeper scatter
4 in10.2 cm1.7 kHzLarge room visual feature
🎛Common Diffuser Panel Sizes
Room Scenario Panel Size Typical Cell Prime Choice
Recording booth18 x 18 in1.5 in7 or 11
Mix position pair24 x 24 in2 in7 or 11
Rear wall panel36 x 24 in2 in11 or 13
Live room array48 x 36 in3 in13 or 17
Stage scatter wall72 x 48 in4 in17 or 19
🧱Material Density Comparison
Material Density Panel Behavior Best Fit
Rigid foam core6 lb/ft³Light, easy to mountClouds and light panels
Light pine25 lb/ft³Moderate weightSmall room panels
Poplar28 lb/ft³Stable block stockBalanced studio builds
Baltic birch34 lb/ft³Dense, clean edgesHigh detail skyline grids
MDF blocks45 lb/ft³Heavy and uniformFixed wall installations
💡Diffuser Calculation Tips
Depth check: If the calculated max well exceeds your build limit, raise the design frequency or choose a smaller prime order before cutting blocks.
Grid check: Keep cells square and use whole cell counts; trimmed edge strips interrupt the 2D residue pattern more than a slightly smaller panel.

Two-dimensional diffusers are tool that help to scatter the sound waves in two different dimension. Two-dimensional diffusers are often used in a small studio in which the reflections from the walls can impact the vocal track being recorded. If the vocal tracks were to include two-dimensional diffusers, the mix can turn from a clean mix to a crowded mix.

Before any block are to be cut for the creation of a two-dimensional diffuser, a calculator can be used to ensure that the sizing of the two-dimensional diffuser is correct. The two-dimensional diffuser often utilizes a prime number of well for the creation of its depths. The depths of each well are calculate based off the design frequency, the speed of sound, and the prime order of the two-dimensional diffuser.

How to design a two-dimensional diffuser

A calculator will calculate the step depth for the two-dimensional diffuser and calculate the maximum depth of each well that will be created within the two-dimensional diffuser panel. This maximum depth of each well is another important number for the creation of the two-dimensional diffuser. This maximum depth will determine the lowest frequency that the two-dimensional diffuser will reflect.

If this measurement is too great for the available space, the designer can raise the design frequency or the designer can reduce the prime order. Each of these changes will decrease the depth of the deepest well of the two-dimensional diffuser. Another factor to consider within the creation of the two-dimensional diffuser is the width of each cell.

If the cells are made narrower, the two-dimensional diffuser will reflect higher frequencies. This is due to the fact that narrower cells will allow the two-dimensional diffuser to impact higher frequency. However, if the cells are narrowed, more blocks will have to be cut.

If the cells are made wider, there will be less labor in the creation of the two-dimensional diffuser. Wider cells will reflect better in large walls, but they will begin to act as flat surfaces for frequencies that are reflected past a certain point. Reference table can help to determine the size of each cell and the upper limit of the frequencies that will be reflected.

The material that is used for the creation of the two-dimensional diffuser will impact the weight of the two-dimensional diffuser and the accuracy of the two-dimensional diffuser. Using wood that are more dense will allow the two-dimensional diffuser to have clean edges. These clean edges are important for maintaining the accuracy of the calculated depths.

Using lighter materials for the two-dimensional diffuser will reduce the load on the wall upon installation. However, the lighter the material for the two-dimensional diffuser, the more likely it will flex if it is a large panel. The calculator can determine both the density and the approximate weight of the two-dimensional diffuser when completed.

The grid count for the two-dimensional diffuser will be determined by the dimension of the panels that are to be used for the installation. Each dimension will be divided by the size of the cells. Any remaining measurement will be discarded.

Even if the leftover strip is relatively wide, it is better to use a panel that is slightly smaller and fits entirely within the grid, rather than forcing a strip that is barely wide enough to include a single row of cell. Due to the fact that most room are not created with theoretical conditions, the calculated frequency ranges may not be met. Many builder will start with a relatively low prime order for their two-dimensional diffusers panels.

If the problems in the room are not solved with the first array of two-dimensional diffusers, a second array can be installed. The builder can swap the primes for the two-dimensional diffuser so that they can view the impact that it will have upon the size of the deepest well of the two-dimensional diffuser. A two-dimensional diffuser does not require a great amount of total depth.

A well of only a few inch in depth will reflect the necessary midrange frequencies. The temptation may exist to make the depth of each well more greater in order to reflect lower frequencies. However, deep well can cause problems with mounting the two-dimensional diffuser into the wall.

The input provided into the calculator for the two-dimensional diffuser can limit the depth of each well. This limitation will allow the calculator to flag any depth that may be too deep for the individual to build the two-dimensional diffuser. The placement of two-dimensional diffusers within a room can impact the range of frequencies that are reflected from the panels.

Two-dimensional diffusers can be placed on the rear wall of a mixing studio that is utilized for the positioning of the individuals that are creating the vocal tracks. Smaller panels can be placed on the side walls of the mixing studio. Two-dimensional diffusers that are much lighter in weight can be placed into the clouds above a vocal booth or an individual’s desk.

The calculator will not make placement decisions. However, the calculator can provide the area, the volume, and the weight of each two-dimensional diffuser for the individual to compare different placement option within the mixing studio. The design frequency for a two-dimensional diffuser is not the only frequency that will be reflected by the two-dimensional diffuser.

There will be some effect upon the frequencies that are both above and below the design frequency. However, the efficiency of the two-dimensional diffuser may decrease if it is only designed to reflect certain frequency ranges. Often times, the calculation of the dimension of the two-dimensional diffuser can be started at a frequency that is slightly higher than the lowest frequency that is having problems within the mixing room.

By beginning the calculation at a higher frequency, the two-dimensional diffuser will often integrate better with the other sound absorbing panels within the mixing studio. Furthermore, by listening to the studio with the two-dimensional diffuser installed, the person can verify the results of the calculations that were made with the calculator. By building a single panel and integrating it into the mixing studio for a few weeks, the individual can determine if the two-dimensional diffuser is having the desired effect upon the vocal tracks.

Often times, if the problem frequencies are smoothed out and the vocal tracks have a more stable image within each stereo speaker, the calculations were successful. In the case that the reflections are not smoothed out within the mixing room, the tool can be utilized again to adjust any factor of the two-dimensional diffuser panel, such as the width of the cells, the order of the prime number for the panel, or the size of the panel itself. Each mixing studio and each individual listener has different ear, so the process is iterative and may require several adjustments before the proper settings are found.

2D Diffuser Calculator for Skyline Panels

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