Spencerian script is the ornamental American business hand of the nineteenth century: oval-based, steeply slanted, with hairline upstrokes and shaded downstrokes from a pointed pen.
Letterforms
Every letter is built on the oval and on a slant of about 52 degrees from the horizontal, far steeper than any school model today. Upstrokes are hairlines and downstrokes are shaded by pressing the flexible nib, which is where the contrast comes from. Lowercase loops are narrow and delicate; capitals are drawn from a small set of compound curves and can be plain or elaborately flourished. Spacing is wide and even, so a line of Spencerian looks light on the page.
Joins and lifts
The lowercase is fully joined through the hairline upstrokes. Capitals often stand alone, and the flourished forms always do. The pen lifts for dots and crossbars and for the shaded strokes, which are made on the downstroke with pressure and released on the way up.
Where it comes from
Platt Rogers Spencer developed the hand in the 1840s, taught it through his business colleges and published it after his death in 1864; his sons and students spread it through American commerce and schools until the 1920s, when the plainer Palmer Method and then the typewriter displaced it. The Coca-Cola wordmark, drawn in 1886, is the best-known survival. Today it is a calligraphy hand, learned with a pointed dip pen from the reprinted manuals and from a small number of teachers.
Practising it
Spencerian needs a pointed flexible nib, thin ink and practice paper with a slant guide; a ballpoint cannot shade. Start with the basic strokes, the straight line, the oval and the compound curve, then the lowercase in groups, then capitals. The site renders the hand in a Copperplate-style font for reference; the Copperplate page covers the related English hand, and the Palmer Method page the plainer American successor.