Brew cyclic tasting order balance calculator

Calculate balanced cyclic tasting orders and first-position count per sample with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use balanced cyclic tasting orders and first-position count per sample to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Samples in each flight (count)
4
Tasters (count)
10
Balanced cyclic tasting orders (JSON)
[[1,2,3,4],[2,3,4,1],[3,4,1,2],[4,1,2,3],[1,2,3,4],[2,3,4,1],[3,4,1,2],[4,1,2,3],[1,2,3,4],[2,3,4,1]]
First-position count per sample (JSON)
[3,3,2,2]

Try another scenario

Samples in each flight (count)
5
Tasters (count)
10
Balanced cyclic tasting orders (JSON)
[[1,2,3,4,5],[2,3,4,5,1],[3,4,5,1,2],[4,5,1,2,3],[5,1,2,3,4],[1,2,3,4,5],[2,3,4,5,1],[3,4,5,1,2],[4,5,1,2,3],[5,1,2,3,4]]
First-position count per sample (JSON)
[2,2,2,2,2]
Calculation method

Calculation method

Balanced cyclic tasting orders (JSON)

Rotate the sample sequence once per taster; report first-position balance. Cyclic rotation does not eliminate all carryover effects.

First-position count per sample (JSON)

Rotate the sample sequence once per taster; report first-position balance. Cyclic rotation does not eliminate all carryover effects.

Symbols and units
a
Samples in each flight (count)
b
Tasters (count)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • User-supplied measurements and assumptions; Rotate the sample sequence once per taster; report first-position balance. Cyclic rotation does not eliminate all carryover effects. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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