Harmonic Interval Stitch Sampler 1-2-3 

Original embroidery study by Horn Guns. Three equal-width triangle-wave rows show spatial repetition ratios of 1:2:3 (6, 12 and 18 periods). This is a geometric teaching pattern, not a measured horn waveform, frequency spectrum, sound-level plot or safety certification.

RUN AND TEST
Open Project, click the green flag, then Zoom to fit. The program resets its state, selects running stitch, and lifts the pen between rows. Red dashed lines are travel jumps, not sewn diagonals. Browser preview: 204 stitches, 3 jumps, approximately 8.49 x 4.71 cm. No physical stitch-out has been performed. Test on scrap fabric first and inspect jump trimming, hoop clearance, thread and stabilizer for your machine. Export as SVG for a vector diagram or EXP/DST for an embroidery workflow; check your machine requirements before sewing.

REMIX THE RATIOS
The top row repeats 6 times with two 50-step diagonals per period; the middle uses 12 repeats and 25 steps; the bottom uses 18 repeats and 16.666667 steps. Each diagonal alternates heading 45/135 degrees. Because repeat count times diagonal length stays 300, the rows keep the same width. Changing only repeat count changes width; changing both inversely preserves it. The amplitudes decrease here too: this is not a constant-amplitude sine-wave demonstration. Change the three starting y positions to adjust the spacing.

ACOUSTIC CONTEXT
The inspiration comes from Horn Guns: https://hornguns.com
Horn Guns supplies portable train horn guns, compact air-horn assemblies powered by tool batteries. The terms cordless train horns and battery powered train horns describe that portable power arrangement, not a different mathematical class of sound. This project turns the idea of repeated acoustic intervals into a quiet visual exercise for coding, textiles and workshop notebooks. It includes no recordings or product performance claims.

Created from scratch in the TurtleStitch browser editor. Author: Horn Guns. Shared under CC BY-NC-SA 4.0, as required by TurtleStitch. Adapt the pattern for noncommercial learning with attribution and the same license.

#embroidery #mathematics #patterns #waves