{
 "version": "2026-10-20",
 "license": "Dimension sheets are written by Xem Studio from the cited sources and are free to use (CC BY 4.0, attribute 'Xem Studio'). Linked files belong to their publishers under the license shown; Xem Studio does not host them. 'license_verified: false' means the license shown is from memory or the publisher's page as last read and should be confirmed at the link before commercial use.",
 "slug": "spur-gears-module-1-5",
 "name": "Spur gears, module 1.5: 10 to 80 teeth (20° involute)",
 "kind": "hardware",
 "category": "Hardware",
 "group": "Motion",
 "year": null,
 "question": "What is the pitch diameter of a module 1.5 spur gear?",
 "tags": [
  "gear",
  "spur gear",
  "module 1.5",
  "involute"
 ],
 "aliases": [
  "module 1.5 spur gear stl",
  "m1.5 gear dimensions",
  "spur gear calculator pitch diameter",
  "involute gear step file",
  "3d printable gear"
 ],
 "overall_mm": {
  "length": null,
  "width": null,
  "height": null
 },
 "official_cad": false,
 "xem_status": "free-files",
 "les": false,
 "free_files": 26,
 "url": "https://xemstudio.com/objects/spur-gears-module-1-5/",
 "sheet_txt": "https://xemstudio.com/objects/spur-gears-module-1-5/sheet.txt",
 "sheet": {
  "basis": "ISO 53 basic rack: 20° pressure angle, addendum m, dedendum 1.25 m; pitch Ø = m × teeth, tip Ø = m × (teeth + 2), root Ø = m × (teeth − 2.5)",
  "overall_mm": {
   "length": null,
   "width": null,
   "height": null
  },
  "notes": [
   "Centre distance of two module 1.5 gears = m × (N1 + N2) / 2. Face width 12 mm, plain bore (add a hub, key or set screw to suit). Teeth below 17 are drawn without profile shift, so they undercut as real unshifted gears do."
  ],
  "table": {
   "columns": [
    "teeth",
    "pitch_dia_mm",
    "tip_dia_mm",
    "root_dia_mm",
    "face_mm",
    "bore_mm"
   ],
   "rows": [
    [
     10,
     15,
     18,
     11.25,
     12,
     4
    ],
    [
     12,
     18,
     21,
     14.25,
     12,
     5
    ],
    [
     14,
     21,
     24,
     17.25,
     12,
     6
    ],
    [
     15,
     22.5,
     25.5,
     18.75,
     12,
     7
    ],
    [
     16,
     24,
     27,
     20.25,
     12,
     7
    ],
    [
     18,
     27,
     30,
     23.25,
     12,
     8
    ],
    [
     20,
     30,
     33,
     26.25,
     12,
     9
    ],
    [
     22,
     33,
     36,
     29.25,
     12,
     10
    ],
    [
     24,
     36,
     39,
     32.25,
     12,
     11
    ],
    [
     25,
     37.5,
     40.5,
     33.75,
     12,
     12
    ],
    [
     28,
     42,
     45,
     38.25,
     12,
     13
    ],
    [
     30,
     45,
     48,
     41.25,
     12,
     14
    ],
    [
     32,
     48,
     51,
     44.25,
     12,
     15
    ],
    [
     35,
     52.5,
     55.5,
     48.75,
     12,
     17
    ],
    [
     36,
     54,
     57,
     50.25,
     12,
     18
    ],
    [
     40,
     60,
     63,
     56.25,
     12,
     20
    ],
    [
     42,
     63,
     66,
     59.25,
     12,
     21
    ],
    [
     45,
     67.5,
     70.5,
     63.75,
     12,
     22
    ],
    [
     48,
     72,
     75,
     68.25,
     12,
     24
    ],
    [
     50,
     75,
     78,
     71.25,
     12,
     25
    ],
    [
     56,
     84,
     87,
     80.25,
     12,
     25
    ],
    [
     60,
     90,
     93,
     86.25,
     12,
     25
    ],
    [
     64,
     96,
     99,
     92.25,
     12,
     25
    ],
    [
     70,
     105,
     108,
     101.25,
     12,
     25
    ],
    [
     72,
     108,
     111,
     104.25,
     12,
     25
    ],
    [
     80,
     120,
     123,
     116.25,
     12,
     25
    ]
   ]
  }
 },
 "sheet_text": "Spur gears, module 1.5: 10 to 80 teeth (20° involute) — dimension sheet\nSource: Xem Studio, https://xemstudio.com/objects/spur-gears-module-1-5/  (CC BY 4.0)\nBasis: ISO 53 basic rack: 20° pressure angle, addendum m, dedendum 1.25 m; pitch Ø = m × teeth, tip Ø = m × (teeth + 2), root Ø = m × (teeth − 2.5)\nCatalog version: 2026-10-20\n\nSizes: see table below\n- Centre distance of two module 1.5 gears = m × (N1 + N2) / 2. Face width 12 mm, plain bore (add a hub, key or set screw to suit). Teeth below 17 are drawn without profile shift, so they undercut as real unshifted gears do.\n\nteeth  pitch_dia_mm  tip_dia_mm  root_dia_mm  face_mm  bore_mm\n10  15.0  18.0  11.25  12.0  4\n12  18.0  21.0  14.25  12.0  5\n14  21.0  24.0  17.25  12.0  6\n15  22.5  25.5  18.75  12.0  7\n16  24.0  27.0  20.25  12.0  7\n18  27.0  30.0  23.25  12.0  8\n20  30.0  33.0  26.25  12.0  9\n22  33.0  36.0  29.25  12.0  10\n24  36.0  39.0  32.25  12.0  11\n25  37.5  40.5  33.75  12.0  12\n28  42.0  45.0  38.25  12.0  13\n30  45.0  48.0  41.25  12.0  14\n32  48.0  51.0  44.25  12.0  15\n35  52.5  55.5  48.75  12.0  17\n36  54.0  57.0  50.25  12.0  18\n40  60.0  63.0  56.25  12.0  20\n42  63.0  66.0  59.25  12.0  21\n45  67.5  70.5  63.75  12.0  22\n48  72.0  75.0  68.25  12.0  24\n50  75.0  78.0  71.25  12.0  25\n56  84.0  87.0  80.25  12.0  25\n60  90.0  93.0  86.25  12.0  25\n64  96.0  99.0  92.25  12.0  25\n70  105.0  108.0  101.25  12.0  25\n72  108.0  111.0  104.25  12.0  25\n80  120.0  123.0  116.25  12.0  25\n\nFiles elsewhere (not hosted by Xem Studio; license as stated by the publisher):\n- ISO: ISO 53 standard basic rack (20° pressure angle, addendum 1 m, dedendum 1.25 m) and ISO 54 modules — standard — ISO; dimensions are facts [verify license at link] — https://www.iso.org/standard/5768.html\n\nFree files (CC BY 4.0, Xem Studio; STEP + STL, 26 parts): https://xemstudio.com/files/hardware/spur-gears-module-1-5/index.json\nAPI: https://xemstudio.com/api/geometry?object=spur-gears-module-1-5\n",
 "sources": [
  {
   "publisher": "ISO",
   "title": "ISO 53 standard basic rack (20° pressure angle, addendum 1 m, dedendum 1.25 m) and ISO 54 modules",
   "url": "https://www.iso.org/standard/5768.html",
   "formats": [
    "standard"
   ],
   "license": "ISO; dimensions are facts",
   "license_verified": false,
   "hosted": false
  }
 ],
 "xem": {
  "status": "free-files",
  "sheet_free": true,
  "mesh_price_usd": null,
  "step_price_usd": null,
  "tolerance_mm": null
 },
 "related": [
  "spur-gears-module-0-5",
  "spur-gears-module-0-8",
  "spur-gears-module-1",
  "spur-gears-module-1-25",
  "spur-gears-module-2",
  "spur-gears-involute"
 ],
 "fits": [],
 "dimensions": "exact (nominal, no printing tolerance)",
 "dimension_rule": "All geometry on Xem Studio is exact (nominal, true size) with no printing tolerance. Where a part meets another part, the object lists its mating features (feature, exact size, what it mates with, fit class: press, slide, run, socket, clamp or designed). Apply your process's allowance to those features only; 'designed' gaps are part of the design and stay as drawn.",
 "mating": [],
 "faq": [
  {
   "q": "Pitch diameter of a module 1.5, 20-tooth gear?",
   "a": "30 mm; tip 33 mm."
  },
  {
   "q": "Centre distance?",
   "a": "m × (N1 + N2) / 2: a 20 and a 40 tooth module 1.5 pair sit 45 mm apart."
  }
 ],
 "files_license": null,
 "offers": [
  {
   "file": "gear-m1-5-10t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-10t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-10t.stl",
   "note": "module 1.5, 10 teeth: pitch Ø15, tip Ø18, root Ø11.25, face 12, bore Ø4"
  },
  {
   "file": "gear-m1-5-12t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-12t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-12t.stl",
   "note": "module 1.5, 12 teeth: pitch Ø18, tip Ø21, root Ø14.25, face 12, bore Ø5"
  },
  {
   "file": "gear-m1-5-14t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-14t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-14t.stl",
   "note": "module 1.5, 14 teeth: pitch Ø21, tip Ø24, root Ø17.25, face 12, bore Ø6"
  },
  {
   "file": "gear-m1-5-15t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-15t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-15t.stl",
   "note": "module 1.5, 15 teeth: pitch Ø22.5, tip Ø25.5, root Ø18.75, face 12, bore Ø7"
  },
  {
   "file": "gear-m1-5-16t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-16t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-16t.stl",
   "note": "module 1.5, 16 teeth: pitch Ø24, tip Ø27, root Ø20.25, face 12, bore Ø7"
  },
  {
   "file": "gear-m1-5-18t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-18t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-18t.stl",
   "note": "module 1.5, 18 teeth: pitch Ø27, tip Ø30, root Ø23.25, face 12, bore Ø8"
  },
  {
   "file": "gear-m1-5-20t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-20t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-20t.stl",
   "note": "module 1.5, 20 teeth: pitch Ø30, tip Ø33, root Ø26.25, face 12, bore Ø9"
  },
  {
   "file": "gear-m1-5-22t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-22t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-22t.stl",
   "note": "module 1.5, 22 teeth: pitch Ø33, tip Ø36, root Ø29.25, face 12, bore Ø10"
  },
  {
   "file": "gear-m1-5-24t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-24t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-24t.stl",
   "note": "module 1.5, 24 teeth: pitch Ø36, tip Ø39, root Ø32.25, face 12, bore Ø11"
  },
  {
   "file": "gear-m1-5-25t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-25t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-25t.stl",
   "note": "module 1.5, 25 teeth: pitch Ø37.5, tip Ø40.5, root Ø33.75, face 12, bore Ø12"
  },
  {
   "file": "gear-m1-5-28t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-28t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-28t.stl",
   "note": "module 1.5, 28 teeth: pitch Ø42, tip Ø45, root Ø38.25, face 12, bore Ø13"
  },
  {
   "file": "gear-m1-5-30t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-30t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-30t.stl",
   "note": "module 1.5, 30 teeth: pitch Ø45, tip Ø48, root Ø41.25, face 12, bore Ø14"
  },
  {
   "file": "gear-m1-5-32t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-32t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-32t.stl",
   "note": "module 1.5, 32 teeth: pitch Ø48, tip Ø51, root Ø44.25, face 12, bore Ø15"
  },
  {
   "file": "gear-m1-5-35t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-35t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-35t.stl",
   "note": "module 1.5, 35 teeth: pitch Ø52.5, tip Ø55.5, root Ø48.75, face 12, bore Ø17"
  },
  {
   "file": "gear-m1-5-36t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-36t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-36t.stl",
   "note": "module 1.5, 36 teeth: pitch Ø54, tip Ø57, root Ø50.25, face 12, bore Ø18"
  },
  {
   "file": "gear-m1-5-40t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-40t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-40t.stl",
   "note": "module 1.5, 40 teeth: pitch Ø60, tip Ø63, root Ø56.25, face 12, bore Ø20"
  },
  {
   "file": "gear-m1-5-42t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-42t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-42t.stl",
   "note": "module 1.5, 42 teeth: pitch Ø63, tip Ø66, root Ø59.25, face 12, bore Ø21"
  },
  {
   "file": "gear-m1-5-45t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-45t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-45t.stl",
   "note": "module 1.5, 45 teeth: pitch Ø67.5, tip Ø70.5, root Ø63.75, face 12, bore Ø22"
  },
  {
   "file": "gear-m1-5-48t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-48t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-48t.stl",
   "note": "module 1.5, 48 teeth: pitch Ø72, tip Ø75, root Ø68.25, face 12, bore Ø24"
  },
  {
   "file": "gear-m1-5-50t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-50t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-50t.stl",
   "note": "module 1.5, 50 teeth: pitch Ø75, tip Ø78, root Ø71.25, face 12, bore Ø25"
  },
  {
   "file": "gear-m1-5-56t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-56t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-56t.stl",
   "note": "module 1.5, 56 teeth: pitch Ø84, tip Ø87, root Ø80.25, face 12, bore Ø25"
  },
  {
   "file": "gear-m1-5-60t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-60t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-60t.stl",
   "note": "module 1.5, 60 teeth: pitch Ø90, tip Ø93, root Ø86.25, face 12, bore Ø25"
  },
  {
   "file": "gear-m1-5-64t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-64t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-64t.stl",
   "note": "module 1.5, 64 teeth: pitch Ø96, tip Ø99, root Ø92.25, face 12, bore Ø25"
  },
  {
   "file": "gear-m1-5-70t",
   "formats": [
    "step",
    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-70t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-70t.stl",
   "note": "module 1.5, 70 teeth: pitch Ø105, tip Ø108, root Ø101.25, face 12, bore Ø25"
  },
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   "formats": [
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    "stl"
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   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-72t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-72t.stl",
   "note": "module 1.5, 72 teeth: pitch Ø108, tip Ø111, root Ø104.25, face 12, bore Ø25"
  },
  {
   "file": "gear-m1-5-80t",
   "formats": [
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    "stl"
   ],
   "price_usd": 0,
   "license": "CC BY 4.0 (Xem Studio)",
   "step": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-80t.step",
   "stl": "https://xemstudio.com/files/hardware/spur-gears-module-1-5/gear-m1-5-80t.stl",
   "note": "module 1.5, 80 teeth: pitch Ø120, tip Ø123, root Ø116.25, face 12, bore Ø25"
  }
 ],
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}