# Morse tapers MT0–MT7 and 4-1/2: gauge diameter, small end, taper per foot, plug depth, shank length, tang length + taper plug and ring gauges

> What are the dimensions of Morse taper MT1, MT2, MT3, MT4 and MT5 (large and small diameter, taper, length, tang)?

- Category: Hardware › Machine tool tapers & collets
- Kind: Standard part
- Basis: Machinery's Handbook table 1b (A, D, R, taper per foot) cross-checked with threadcheck (A, D, plug length), cgtk.co.uk (mm), tools-n-gizmos (shank and tang length) and Engineers Edge; plug and ring gauges are Xem-drawn from the A, D and plug depth, tapered portion only
- Page: https://xemstudio.com/objects/morse-tapers-mt0-mt7/ · JSON: https://xemstudio.com/api/geometry?object=morse-tapers-mt0-mt7 · Plain text: https://xemstudio.com/objects/morse-tapers-mt0-mt7/sheet.txt
- License: dimension sheet CC BY 4.0 (Xem Studio); files CC BY 4.0 or their publisher's license
- Use in every chat: add https://xemstudio.com/mcp as a connector (https://xemstudio.com/use-with-ai/)

## Overall (mm)

| length | width | height |
|---|---|---|
| 254.0 | 124.6 | 124.6 |

**Exact dimensions.** Every file is drawn at true size with no tolerance added. The holes and pins that meet another part are listed below under Mating features, with the fit each joint needs; open those by your process's clearance before making the part.

## Notes

- A Morse taper (MT, 'Morse Kegel' MK in German) is a self-holding taper of about 5/8 in per foot (≈ 1:20, a little different per size) on drill shanks, lathe tailstock and headstock spindles, mill arbors and drill-press spindles. The table is in the inch units the taper is defined in, with mm computed (× 25.4, to 0.001 mm). A is the diameter at the gauge line (large end of the plug / mouth of the socket), D the small-end diameter, 'plug depth' the taper length from A to D (threadcheck's plug gauge lengths and cgtk's L2 agree), 'shank length' B the overall length including the tang, and T the tang length. R is the tang radius.
- Check: for every size the published taper per foot equals (A − D) ÷ plug depth × 12 to within 0.002 in per foot (the Handbook's tolerance on rate of taper is 0.002 in per foot, all sizes). Agreement: A and D agree between Machinery's Handbook, threadcheck, cgtk (D1, D2) and AIMS for MT0 to MT7 and 4-1/2 (AIMS rounds the third decimal: MT3 small end 19.762 against 19.761 computed). Plug depth from threadcheck / cgtk agrees with tools-n-gizmos' socket depth for each size. Shank length B in tools-n-gizmos agrees with cgtk's L1 for MT0 to MT6 and with Engineers Edge for MT1 to MT3; cgtk's L1 for MT7 (141.275 mm) disagrees with tools-n-gizmos' 11-5/8 in, so MT7 B is left blank here, and MT4-1/2 has no published B or T in the sources read.
- Disagreement kept: AIMS Industrial's 'length' column prints 50.8, 53.5, 64.3, 81.0, 102.0, 114.3, 132.0, 184.0 and 254.0 mm, which is not the plug depth of the inch tables for MT1, MT2, MT4, MT5 and MT6 (the plug depths 53.975, 65.087, 103.188, 131.762 and 184.150 mm); the AIMS column is shown for comparison only and is not used. Tang radius R (Machinery's Handbook, 'R'): 0.1562, 0.2031, 0.2500, 0.3125, 0.4687, 0.6250, 0.7500, 1.1250 in for MT0 to MT7; it equals cgtk's 'H' in mm, so cgtk's 'H' and 'R' labels are not the same as the Handbook's.
- Models: for MT0 to MT7 there are two files each. The plug gauge is a frustum with the published A, D and plug depth (the tapered portion only; tang, collar and keyway are not drawn because the tang thickness, flat length and undercut diameter columns could not be assigned to sizes reliably). The ring gauge is a square block with a through taper bore of the same A → D over the plug depth: a stand-in for the standard's socket, which is deeper. Block width (1.5 × A, rounded) is an Xem choice. Both are exact nominal; allow your process's tolerance on the taper (the standard's tolerance on the taper is small, so ream or grind to gauge).
- Not here: Brown & Sharpe, Jacobs and Jarno tapers, metric tapers 80 / 100 / 120 / 160 / 200, tang thickness and keyway dimensions, ISO 296 tolerance classes (the free ISO 296:1974 sample is not legible), and R8, which has no published dimension table in the sources found.

## Mating features (exact size; open press / slide / run / socket by your process clearance, leave designed and clamp as drawn)

| feature | exact | mates with | fit | files |
|---|---|---|---|---|
| taper plug A to D over plug depth | MT1: Ø12.065 → Ø9.373 over 53.975 mm; MT2: Ø17.780 → Ø14.529 over 65.087 mm (A and D in the table, MT0 to MT7) | Morse taper socket (the ring gauge block, a spindle or sleeve bore): same A → D taper over the plug depth | designed | morse-taper-mt* |
| socket taper A to D | same A, D and plug depth as the plug, MT0 to MT7 | Morse taper shank or arbor plug: the pair seats and holds by the taper, so ream or grind to gauge and do not apply a clearance | designed | morse-taper-mt* |

## Sizes

| taper | taper per foot (in) | A gauge line (in) | A (mm) | D small end (in) | D (mm) | plug depth P (in) | P (mm) | AIMS 'length' (mm) | shank length B (in = mm) | tang length T (in = mm) | tang radius R (in = mm) |
|---|---|---|---|---|---|---|---|---|---|---|---|
| MT0 | 0.62460 | 0.3561 | 9.045 | 0.2520 | 6.401 | 2 | 50.800 | 50.8 | 2-11/32 = 59.531 | 1/4 = 6.350 | 0.1562 = 3.967 |
| MT1 | 0.59858 | 0.4750 | 12.065 | 0.3690 | 9.373 | 2-1/8 | 53.975 | 53.5 | 2-9/16 = 65.087 | 3/8 = 9.525 | 0.2031 = 5.159 |
| MT2 | 0.59941 | 0.7000 | 17.780 | 0.5720 | 14.529 | 2-9/16 | 65.087 | 64.3 | 3-1/8 = 79.375 | 7/16 = 11.112 | 0.2500 = 6.350 |
| MT3 | 0.60235 | 0.9380 | 23.825 | 0.7780 | 19.761 | 3-3/16 | 80.962 | 81 | 3-7/8 = 98.425 | 9/16 = 14.287 | 0.3125 = 7.938 |
| MT4 | 0.62326 | 1.2310 | 31.267 | 1.0200 | 25.908 | 4-1/16 | 103.188 | 102 | 4-7/8 = 123.825 | 5/8 = 15.875 | 0.4687 = 11.905 |
| MT4-1/2 | 0.62400 | 1.5000 | 38.100 | 1.2660 | 32.156 | 4-1/2 | 114.300 | 114.3 | — | — | — |
| MT5 | 0.63151 | 1.7480 | 44.399 | 1.4750 | 37.465 | 5-3/16 | 131.762 | 132 | 6-1/8 = 155.575 | 3/4 = 19.050 | 0.6250 = 15.875 |
| MT6 | 0.62565 | 2.4940 | 63.348 | 2.1160 | 53.746 | 7-1/4 | 184.150 | 184 | 8-9/16 = 217.487 | 1-1/8 = 28.575 | 0.7500 = 19.050 |
| MT7 | 0.62400 | 3.2700 | 83.058 | 2.7500 | 69.850 | 10 | 254.000 | 254 | — | 1-3/8 = 34.925 | 1.1250 = 28.575 |

## Where the files are

- Machinery's Handbook (31st ed., table 1b): [Morse standard taper shanks: A, D, R, taper per foot and per inch, sizes 0 to 7](https://online.flippingbook.com/view/954192180/1130) — web — Publisher's page; dimensions are facts
- threadcheck: [Morse taper plug gauges: taper per foot, large end D, small end d, length, sizes 0 to 7 and 4-1/2](https://www.threadcheck.com/morse-cylindrical-taper-plug-with-tang) — web — Publisher's page; dimensions are facts
- cgtk.co.uk (A. S. Budden): [Morse taper dimensions in mm: D1, D2, L2, taper, L1, L3, H, R, MT0 to MT7 (its MT7 L1 is inconsistent and not used)](https://www.cgtk.co.uk/metalwork/data/morse) — web — Publisher's page; dimensions are facts
- Tools-n-Gizmos: [Taper specifications: Morse overall length L1, socket depth L2, tang L3; CAT, BT and NMTB 7:24 gauge diameter, flange, length, draw bar thread](https://tools-n-gizmos.com/specs/Tapers.html) — web — Publisher's page; dimensions are facts
- Engineers Edge: [Morse taper shanks, dimensions in inches (A, D, B shank length, S, H; its column headings are partly garbled)](https://ns2.engineersedge.com/manufacturing/morse_taper_shanks_dimensions_table_13465.htm) — web — Publisher's page; dimensions are facts
- AIMS Industrial: [Morse taper sizes MT0 to MT7 (DIN 228-1 / ISO 296): large and small end diameter, length (its lengths differ from the inch tables)](https://aimsindustrial.com.au/blogs/product-guides/morse-taper-guide) — web — Publisher's page; dimensions are facts
- ISO (iTeh Standards free sample): [ISO 296:1974 machine tools, self-holding tapers (Morse and metric): table references only, the free sample text is not legible](https://cdn.standards.iteh.ai/samples/4223/65584d6d030f4396927a0ef46c334597/ISO-296-1974.pdf) — web — Standards body sample pages

## Free STEP/STL (16 parts, CC BY 4.0, Xem Studio)

Index: https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/index.json

- morse-taper-mt0-plug-gauge: [STEP](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt0-plug-gauge.step) · [STL](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt0-plug-gauge.stl) — Morse taper MT0 gauge plug: large end (gauge line) Ø9.0449 mm, small end Ø6.4008 mm, plug depth 50.800 mm; tapered portion only, no tang or collar (published taper per foot 0.6246)
- morse-taper-mt0-ring-gauge-block: [STEP](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt0-ring-gauge-block.step) · [STL](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt0-ring-gauge-block.stl) — Morse taper MT0 socket gauge: square block 13.6 × 13.6 × 50.800 mm with a through taper bore Ø9.0449 mm at the open face to Ø6.4008 mm at the far face over the plug depth; block width and the bore running through are Xem choices (the standard's deeper socket is not drawn)
- morse-taper-mt1-plug-gauge: [STEP](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt1-plug-gauge.step) · [STL](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt1-plug-gauge.stl) — Morse taper MT1 gauge plug: large end (gauge line) Ø12.0650 mm, small end Ø9.3726 mm, plug depth 53.975 mm; tapered portion only, no tang or collar (published taper per foot 0.59858)
- morse-taper-mt1-ring-gauge-block: [STEP](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt1-ring-gauge-block.step) · [STL](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt1-ring-gauge-block.stl) — Morse taper MT1 socket gauge: square block 18.1 × 18.1 × 53.975 mm with a through taper bore Ø12.0650 mm at the open face to Ø9.3726 mm at the far face over the plug depth; block width and the bore running through are Xem choices (the standard's deeper socket is not drawn)
- morse-taper-mt2-plug-gauge: [STEP](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt2-plug-gauge.step) · [STL](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt2-plug-gauge.stl) — Morse taper MT2 gauge plug: large end (gauge line) Ø17.7800 mm, small end Ø14.5288 mm, plug depth 65.087 mm; tapered portion only, no tang or collar (published taper per foot 0.59941)
- morse-taper-mt2-ring-gauge-block: [STEP](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt2-ring-gauge-block.step) · [STL](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt2-ring-gauge-block.stl) — Morse taper MT2 socket gauge: square block 26.7 × 26.7 × 65.087 mm with a through taper bore Ø17.7800 mm at the open face to Ø14.5288 mm at the far face over the plug depth; block width and the bore running through are Xem choices (the standard's deeper socket is not drawn)
- morse-taper-mt3-plug-gauge: [STEP](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt3-plug-gauge.step) · [STL](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt3-plug-gauge.stl) — Morse taper MT3 gauge plug: large end (gauge line) Ø23.8252 mm, small end Ø19.7612 mm, plug depth 80.962 mm; tapered portion only, no tang or collar (published taper per foot 0.60235)
- morse-taper-mt3-ring-gauge-block: [STEP](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt3-ring-gauge-block.step) · [STL](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt3-ring-gauge-block.stl) — Morse taper MT3 socket gauge: square block 35.7 × 35.7 × 80.962 mm with a through taper bore Ø23.8252 mm at the open face to Ø19.7612 mm at the far face over the plug depth; block width and the bore running through are Xem choices (the standard's deeper socket is not drawn)
- morse-taper-mt4-plug-gauge: [STEP](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt4-plug-gauge.step) · [STL](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt4-plug-gauge.stl) — Morse taper MT4 gauge plug: large end (gauge line) Ø31.2674 mm, small end Ø25.9080 mm, plug depth 103.188 mm; tapered portion only, no tang or collar (published taper per foot 0.62326)
- morse-taper-mt4-ring-gauge-block: [STEP](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt4-ring-gauge-block.step) · [STL](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt4-ring-gauge-block.stl) — Morse taper MT4 socket gauge: square block 46.9 × 46.9 × 103.188 mm with a through taper bore Ø31.2674 mm at the open face to Ø25.9080 mm at the far face over the plug depth; block width and the bore running through are Xem choices (the standard's deeper socket is not drawn)
- morse-taper-mt5-plug-gauge: [STEP](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt5-plug-gauge.step) · [STL](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt5-plug-gauge.stl) — Morse taper MT5 gauge plug: large end (gauge line) Ø44.3992 mm, small end Ø37.4650 mm, plug depth 131.762 mm; tapered portion only, no tang or collar (published taper per foot 0.63151)
- morse-taper-mt5-ring-gauge-block: [STEP](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt5-ring-gauge-block.step) · [STL](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt5-ring-gauge-block.stl) — Morse taper MT5 socket gauge: square block 66.6 × 66.6 × 131.762 mm with a through taper bore Ø44.3992 mm at the open face to Ø37.4650 mm at the far face over the plug depth; block width and the bore running through are Xem choices (the standard's deeper socket is not drawn)
- morse-taper-mt6-plug-gauge: [STEP](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt6-plug-gauge.step) · [STL](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt6-plug-gauge.stl) — Morse taper MT6 gauge plug: large end (gauge line) Ø63.3476 mm, small end Ø53.7464 mm, plug depth 184.150 mm; tapered portion only, no tang or collar (published taper per foot 0.62565)
- morse-taper-mt6-ring-gauge-block: [STEP](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt6-ring-gauge-block.step) · [STL](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt6-ring-gauge-block.stl) — Morse taper MT6 socket gauge: square block 95.0 × 95.0 × 184.150 mm with a through taper bore Ø63.3476 mm at the open face to Ø53.7464 mm at the far face over the plug depth; block width and the bore running through are Xem choices (the standard's deeper socket is not drawn)
- morse-taper-mt7-plug-gauge: [STEP](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt7-plug-gauge.step) · [STL](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt7-plug-gauge.stl) — Morse taper MT7 gauge plug: large end (gauge line) Ø83.0580 mm, small end Ø69.8500 mm, plug depth 254.000 mm; tapered portion only, no tang or collar (published taper per foot 0.624)
- morse-taper-mt7-ring-gauge-block: [STEP](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt7-ring-gauge-block.step) · [STL](https://xemstudio.com/files/hardware/morse-tapers-mt0-mt7/morse-taper-mt7-ring-gauge-block.stl) — Morse taper MT7 socket gauge: square block 124.6 × 124.6 × 254.000 mm with a through taper bore Ø83.0580 mm at the open face to Ø69.8500 mm at the far face over the plug depth; block width and the bore running through are Xem choices (the standard's deeper socket is not drawn)

## Questions

**What is the large-end diameter of an MT2 Morse taper?**

0.700 in = 17.780 mm at the gauge line, 0.572 in = 14.529 mm at the small end, over a plug depth of 2-9/16 in = 65.087 mm.

**What is the taper of a Morse taper?**

About 5/8 in per foot (0.59858 in/ft for MT1, 0.59941 for MT2, 0.60235 for MT3, 0.62326 for MT4, 0.63151 for MT5, 0.62565 for MT6).

**How long is the tang on an MT3?**

9/16 in = 14.288 mm in tools-n-gizmos' table (MT3 shank length 3-7/8 in).

**Are there free STEP files for Morse tapers?**

Yes: a taper plug gauge and a ring gauge block for MT0 to MT7, exact nominal.

## Fits with

- [ER collets ER8, ER11, ER16, ER20, ER25, ER32, ER40, ER50: collet diameter, length, clamping range and nut thread (DIN 6499 / ISO 15488)](https://xemstudio.com/objects/er-collets-er8-er50/)
- [7:24 tool-holder tapers 30, 40, 50: CAT, BT and NMTB gauge diameter, flange diameter, length and draw bar thread (CAT40, BT40, DIN 2080)](https://xemstudio.com/objects/steep-taper-7-24-cat-bt-nmtb-30-40-50/)
- [Taper pins: ISO 2339 / DIN 1 (1:50) and ANSI / ASME No. 7/0 to No. 14 (1/4 in per foot): diameters, taper, lengths + example taper pin models](https://xemstudio.com/objects/taper-pins-iso-2339-ansi-b18-8-2/)
- [Taper-Lock bushings 1008 to 5050: bore range, length through bore, set screw and cap screw sizes](https://xemstudio.com/objects/taper-lock-bushings-1008-to-5050/)
- [QD bushings SH, SDS, SD: length, bolt circle, flange diameter and cap screws](https://xemstudio.com/objects/qd-bushings-sh-sds-sd/)