Contempt of court:

Under American jurisprudence, acts of contempt are divided into two types.

"Direct" contempt is that which occurs in the presence of the presiding judge (in facie curiae), and may be dealt with summarily: the judge notifies the offending party that he or she has acted in a manner which disrupts the tribunal and prejudices the administration of justice, and after giving the person the opportunity to respond, may impose the sanction immediately.

"Indirect" contempt occurs outside the immediate presence of the court, and consists of disobedience of a court's prior order. Generally a party will be accused of indirect contempt by the party for whose benefit the order was entered. A person cited for indirect contempt is entitled to notice of the charge and an opportunity for hearing of the evidence of contempt, and to present evidence in rebuttal. Contempt of court in a civil suit is generally not considered to be a criminal offense, with the party benefiting from the order holding responsibility for maintaining the order.

Sanctions for contempt may be criminal or civil. If a person is to be punished criminally, then the contempt must be proven beyond a reasonable doubt, but once the charge is proven, then punishment (such as a fine or, in more serious cases, imprisonment) is imposed unconditionally. The civil sanction for contempt (which is typically incarceration in the custody of the sheriff or similar court officer) is limited in its imposition for so long as the disobedience to the court's order continues: once the party complies with the court's order, the sanction is lifted. The contemnor is said to "hold the keys" to his or her own cell, thus conventional due process is not required. The burden of proof for civil contempt, however, is a preponderance of the evidence, and punitive sanctions (punishment) can only be imposed after due process.

Perjury is listed as:

Perjury is the act of lying or making verifiably false statements on a material matter under oath or affirmation in a court of law or in any of various sworn statements in writing. Perjury is a crime because the witness has sworn to tell the truth and, for the credibility of the court, witness testimony must be relied on as being truthful. Perjury is considered a serious offense as it can be used to usurp the power of the courts, resulting in miscarriages of justice. In the United States, for example, the general perjury statute under Federal law provides for a prison sentence of up to five years, and is found at 18 U.S.C. § 1621. See also 28 U.S.C. § 1746.

By saying "They're both convictions" for such disparate offenses does indeed tend to attempt to equate them. That is incorrect.