Description
Return a colorwheel sector step and wrapped angle.
Labels, grid coordinates and color-wheel exercises use chosen text-counting and angle conventions. Character counts do not measure visual width, and cyclic indexing does not select a color model. Supplied glyph-width and layout assumptions are estimates rather than a rendered typography check.
Return a colorwheel sector step and wrapped angle.
When to use this tool
Use Lesson Colorwheel Angle Step when checking the stated classroom label or cyclic-angle convention.
How to use the tool and how it works
- Enter sectors, initialAngle, sector. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read stepDegrees, angleDegrees. Use the output convention below.
Return a colorwheel sector step and wrapped angle. Require whole sectors >= 1 and sector >= 0; step = 360/sectors, angle = mod(initialAngle+step*sector,360).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| sectors | Sectors | Required. Safe integer; minimum 1. |
| initialAngle | Initial Angle | Required. Finite number. |
| sector | Nonnegative integer cyclic index; may exceed the number of sectors. | Required. Safe integer; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| stepDegrees | Step Degrees | Required. Finite number. |
| angleDegrees | Angle Degrees | Required. Finite number. |
{
"input": {
"sectors": 12,
"initialAngle": 0,
"sector": 5
},
"output": {
"stepDegrees": 30,
"angleDegrees": 150
}
}Limitations and assumptions
- Sector may exceed one cycle; this is angular layout, not a perceptually uniform color model or color conversion.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Inspect rendered labels and actual layout, and use a complete appropriate color or geometry model when visual appearance matters.
References
Similar or alternative tools
- Drawing Grid Reference Origin
Return a drawing-grid point from supplied origin and spacings.
- Lesson Cleanup Time Floor Tool
Calculate lesson cleanup time floor from explicit caller-supplied inputs.